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152066728 = 231119103883
BaseRepresentation
bin10010001000001…
…01101010101000
3101121010210100001
421010011222220
5302412113403
623031152344
73524355142
oct1104055250
9347123301
10152066728
1178923a90
1242b156b4
1325673818
14162a5c92
15d53bc1d
hex9105aa8

152066728 has 64 divisors (see below), whose sum is σ = 330969600. Its totient is φ = 64774080.

The previous prime is 152066723. The next prime is 152066729. The reversal of 152066728 is 827660251.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (152066723) 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, 171775 + ... + 172657.

It is an arithmetic number, because the mean of its divisors is an integer number (5171400).

Almost surely, 2152066728 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 152066728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165484800).

152066728 is an abundant number, since it is smaller than the sum of its proper divisors (178902872).

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

152066728 is a wasteful number, since it uses less digits than its factorization.

152066728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 152066728 is about 12331.5338867474. The cubic root of 152066728 is about 533.7584135408.

The spelling of 152066728 in words is "one hundred fifty-two million, sixty-six thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 19 22 38 44 76 88 103 152 206 209 412 418 824 836 883 1133 1672 1766 1957 2266 3532 3914 4532 7064 7828 9064 9713 15656 16777 19426 21527 33554 38852 43054 67108 77704 86108 90949 134216 172216 181898 184547 363796 369094 727592 738188 1000439 1476376 1728031 2000878 3456062 4001756 6912124 8003512 13824248 19008341 38016682 76033364 152066728