Search a number
-
+
159250960 = 24511376773
BaseRepresentation
bin10010111110111…
…11101000010000
3102002122210020201
421133133220100
5311232012320
623445144544
73642416341
oct1137375020
9362583221
10159250960
1181990670
12453bb154
1326cba84b
14172160c8
15deaa70a
hex97dfa10

159250960 has 160 divisors (see below), whose sum is σ = 426794112. Its totient is φ = 54743040.

The previous prime is 159250943. The next prime is 159250963. The reversal of 159250960 is 69052951.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (159250963) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2181484 + ... + 2181556.

Almost surely, 2159250960 is an apocalyptic number.

159250960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159250960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213397056).

159250960 is an abundant number, since it is smaller than the sum of its proper divisors (267543152).

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

159250960 is a wasteful number, since it uses less digits than its factorization.

159250960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 37.

The square root of 159250960 is about 12619.4675006515. The cubic root of 159250960 is about 542.0350281234.

The spelling of 159250960 in words is "one hundred fifty-nine million, two hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 67 73 74 80 88 110 134 146 148 176 185 220 268 292 296 335 365 370 407 440 536 584 592 670 730 737 740 803 814 880 1072 1168 1340 1460 1474 1480 1606 1628 2035 2479 2680 2701 2920 2948 2960 3212 3256 3685 4015 4070 4891 4958 5360 5402 5840 5896 6424 6512 7370 8030 8140 9782 9916 10804 11792 12395 12848 13505 14740 16060 16280 19564 19832 21608 24455 24790 27010 27269 29480 29711 32120 32560 39128 39664 43216 48910 49580 53801 54020 54538 58960 59422 64240 78256 97820 99160 107602 108040 109076 118844 136345 148555 180967 195640 198320 215204 216080 218152 237688 269005 272690 297110 361934 391280 430408 436304 475376 538010 545380 594220 723868 860816 904835 1076020 1090760 1188440 1447736 1809670 1990637 2152040 2181520 2376880 2895472 3619340 3981274 4304080 7238680 7962548 9953185 14477360 15925096 19906370 31850192 39812740 79625480 159250960