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155632064 = 2673741229
BaseRepresentation
bin10010100011011…
…00000111000000
3101211211221001112
421101230013000
5304320211224
623235422452
73566564540
oct1121540700
9354757045
10155632064
117a939745
1244154a28
13263215a3
1416953320
15d9e330e
hex946c1c0

155632064 has 112 divisors (see below), whose sum is σ = 372953280. Its totient is φ = 63037440.

The previous prime is 155632063. The next prime is 155632069. The reversal of 155632064 is 460236551.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 155632064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155632063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 679502 + ... + 679730.

It is an arithmetic number, because the mean of its divisors is an integer number (3329940).

Almost surely, 2155632064 is an apocalyptic number.

155632064 is a gapful number since it is divisible by the number (14) 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 155632064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186476640).

155632064 is an abundant number, since it is smaller than the sum of its proper divisors (217321216).

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

155632064 is a wasteful number, since it uses less digits than its factorization.

155632064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 155632064 is about 12475.2580734829. The cubic root of 155632064 is about 537.8977063061.

The spelling of 155632064 in words is "one hundred fifty-five million, six hundred thirty-two thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 41 56 64 74 82 112 148 164 224 229 259 287 296 328 448 458 518 574 592 656 916 1036 1148 1184 1312 1517 1603 1832 2072 2296 2368 2624 3034 3206 3664 4144 4592 6068 6412 7328 8288 8473 9184 9389 10619 12136 12824 14656 16576 16946 18368 18778 21238 24272 25648 33892 37556 42476 48544 51296 59311 65723 67784 75112 84952 97088 102592 118622 131446 135568 150224 169904 237244 262892 271136 300448 339808 347393 474488 525784 542272 600896 679616 694786 948976 1051568 1389572 1897952 2103136 2431751 2779144 3795904 4206272 4863502 5558288 9727004 11116576 19454008 22233152 38908016 77816032 155632064