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156840160 = 25531103307
BaseRepresentation
bin10010101100100…
…11000011100000
3101221010022020211
421112103003200
5310122341120
623321343504
73613055641
oct1126230340
9357108224
10156840160
1180594374
1244637b94
1326655439
1416b896c8
15db8125a
hex95930e0

156840160 has 96 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 59927040.

The previous prime is 156840127. The next prime is 156840169. The reversal of 156840160 is 61048651.

156840160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (156840169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 510727 + ... + 511033.

It is an arithmetic number, because the mean of its divisors is an integer number (4036032).

Almost surely, 2156840160 is an apocalyptic number.

156840160 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 156840160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

156840160 is an abundant number, since it is smaller than the sum of its proper divisors (230618912).

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

156840160 is a wasteful number, since it uses less digits than its factorization.

156840160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 156840160 is about 12523.5841515119. The cubic root of 156840160 is about 539.2859331733.

The spelling of 156840160 in words is "one hundred fifty-six million, eight hundred forty thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 103 124 155 160 206 248 307 310 412 496 515 614 620 824 992 1030 1228 1240 1535 1648 2060 2456 2480 3070 3193 3296 4120 4912 4960 6140 6386 8240 9517 9824 12280 12772 15965 16480 19034 24560 25544 31621 31930 38068 47585 49120 51088 63242 63860 76136 95170 102176 126484 127720 152272 158105 190340 252968 255440 304544 316210 380680 505936 510880 632420 761360 980251 1011872 1264840 1522720 1960502 2529680 3921004 4901255 5059360 7842008 9802510 15684016 19605020 31368032 39210040 78420080 156840160