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159709140 = 223255316741
BaseRepresentation
bin10011000010011…
…11011111010100
3102010112001202100
421201033133110
5311341143030
623503042100
73646335213
oct1141173724
9363461670
10159709140
1182173928
12455a0330
132711b266
14172d507a
15e04b360
hex984f7d4

159709140 has 72 divisors (see below), whose sum is σ = 493621128. Its totient is φ = 41783040.

The previous prime is 159709133. The next prime is 159709141. The reversal of 159709140 is 41907951.

It can be written as a sum of positive squares in 4 ways, for example, as 74442384 + 85266756 = 8628^2 + 9234^2 .

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 = 159709095 and 159709104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (159709141) 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, 1170 + ... + 17910.

It is an arithmetic number, because the mean of its divisors is an integer number (6855849).

Almost surely, 2159709140 is an apocalyptic number.

159709140 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 159709140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246810564).

159709140 is an abundant number, since it is smaller than the sum of its proper divisors (333911988).

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

159709140 is a wasteful number, since it uses less digits than its factorization.

159709140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16809 (or 16804 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 159709140 is about 12637.6081597745. The cubic root of 159709140 is about 542.5543589835.

The spelling of 159709140 in words is "one hundred fifty-nine million, seven hundred nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 53 60 90 106 159 180 212 265 318 477 530 636 795 954 1060 1590 1908 2385 3180 4770 9540 16741 33482 50223 66964 83705 100446 150669 167410 200892 251115 301338 334820 502230 602676 753345 887273 1004460 1506690 1774546 2661819 3013380 3549092 4436365 5323638 7985457 8872730 10647276 13309095 15970914 17745460 26618190 31941828 39927285 53236380 79854570 159709140