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152770104 = 23331315399
BaseRepresentation
bin10010001101100…
…01011000111000
3101122110112012000
421012301120320
5303102120404
623054221000
73533344614
oct1106613070
9348415160
10152770104
1179264493
12431b4760
132585ba16
141640a344
15d62a339
hex91b1638

152770104 has 64 divisors (see below), whose sum is σ = 427680000. Its totient is φ = 50525280.

The previous prime is 152770087. The next prime is 152770133. The reversal of 152770104 is 401077251.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25597 + ... + 30995.

It is an arithmetic number, because the mean of its divisors is an integer number (6682500).

Almost surely, 2152770104 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 152770104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213840000).

152770104 is an abundant number, since it is smaller than the sum of its proper divisors (274909896).

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

152770104 is a wasteful number, since it uses less digits than its factorization.

152770104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5545 (or 5535 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 152770104 is about 12360.0203883327. The cubic root of 152770104 is about 534.5801043383.

It can be divided in two parts, 1527 and 70104, that added together give a triangular number (71631 = T378).

The spelling of 152770104 in words is "one hundred fifty-two million, seven hundred seventy thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 131 216 262 393 524 786 1048 1179 1572 2358 3144 3537 4716 5399 7074 9432 10798 14148 16197 21596 28296 32394 43192 48591 64788 97182 129576 145773 194364 291546 388728 583092 707269 1166184 1414538 2121807 2829076 4243614 5658152 6365421 8487228 12730842 16974456 19096263 25461684 38192526 50923368 76385052 152770104