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159409440 = 25325313571
BaseRepresentation
bin10011000000001…
…10010100100000
3102002221211122100
421200012110200
5311302100230
623452410400
73643646361
oct1140062440
9362854570
10159409440
1181a89743
1245476a00
1327044a18
1417257b68
15dedc660
hex9806520

159409440 has 144 divisors (see below), whose sum is σ = 561689856. Its totient is φ = 41126400.

The previous prime is 159409429. The next prime is 159409441. The reversal of 159409440 is 44904951.

It is a happy number.

159409440 is a nontrivial binomial coefficient, being equal to C(17856, 2).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1594094402 = 50822739122227200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 159409395 and 159409404.

It is not an unprimeable number, because it can be changed into a prime (159409441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42855 + ... + 46425.

It is an arithmetic number, because the mean of its divisors is an integer number (3900624).

Almost surely, 2159409440 is an apocalyptic number.

159409440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

159409440 is the 17855-th triangular number and also the 8928-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159409440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280844928).

159409440 is an abundant number, since it is smaller than the sum of its proper divisors (402280416).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159409440 is a wasteful number, since it uses less digits than its factorization.

159409440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3623 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 159409440 is about 12625.7451265262. The cubic root of 159409440 is about 542.2147721612.

The spelling of 159409440 in words is "one hundred fifty-nine million, four hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3571 3720 4464 4960 5580 7142 7440 8928 10713 11160 14284 14880 17855 21426 22320 28568 32139 35710 42852 44640 53565 57136 64278 71420 85704 107130 110701 114272 128556 142840 160695 171408 214260 221402 257112 285680 321390 332103 342816 428520 442804 514224 553505 571360 642780 664206 857040 885608 996309 1028448 1107010 1285560 1328412 1660515 1714080 1771216 1992618 2214020 2571120 2656824 3321030 3542432 3985236 4428040 4981545 5142240 5313648 6642060 7970472 8856080 9963090 10627296 13284120 15940944 17712160 19926180 26568240 31881888 39852360 53136480 79704720 159409440