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155953668 = 223133741659
BaseRepresentation
bin10010100101110…
…10101000000100
3101212110021012210
421102322220010
5304411004133
623250343420
73602404263
oct1122725004
9355407183
10155953668
1180039332
124428ab70
1326404aa0
14169d85da
15da58763
hex94baa04

155953668 has 96 divisors (see below), whose sum is σ = 412917120. Its totient is φ = 45480960.

The previous prime is 155953667. The next prime is 155953703. The reversal of 155953668 is 866359551.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (155953667) 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 31 ways as a sum of consecutive naturals, for example, 236323 + ... + 236981.

It is an arithmetic number, because the mean of its divisors is an integer number (4301220).

Almost surely, 2155953668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155953668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206458560).

155953668 is an abundant number, since it is smaller than the sum of its proper divisors (256963452).

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

155953668 is a wasteful number, since it uses less digits than its factorization.

155953668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 755 counting only the distinct ones).

The product of its digits is 972000, while the sum is 48.

The square root of 155953668 is about 12488.1410946546. The cubic root of 155953668 is about 538.2679621269.

The spelling of 155953668 in words is "one hundred fifty-five million, nine hundred fifty-three thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 37 39 41 52 74 78 82 111 123 148 156 164 222 246 444 481 492 533 659 962 1066 1318 1443 1517 1599 1924 1977 2132 2636 2886 3034 3198 3954 4551 5772 6068 6396 7908 8567 9102 17134 18204 19721 24383 25701 27019 34268 39442 48766 51402 54038 59163 73149 78884 81057 97532 102804 108076 118326 146298 162114 236652 292596 316979 324228 351247 633958 702494 950937 999703 1053741 1267916 1404988 1901874 1999406 2107482 2999109 3803748 3998812 4214964 5998218 11996436 12996139 25992278 38988417 51984556 77976834 155953668