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152900640 = 25325106181
BaseRepresentation
bin10010001110100…
…01010000100000
3101122201011020200
421013101100200
5303120310030
623101105200
73534430314
oct1107212040
9348634220
10152900640
1179343572
1243258200
13258a6269
1416441b44
15d653d60
hex91d1420

152900640 has 72 divisors (see below), whose sum is σ = 521778348. Its totient is φ = 40773120.

The previous prime is 152900611. The next prime is 152900651. The reversal of 152900640 is 46009251.

152900640 is a `hidden beast` number, since 15 + 2 + 9 + 0 + 0 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 132434064 + 20466576 = 11508^2 + 4524^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51651 + ... + 54530.

Almost surely, 2152900640 is an apocalyptic number.

152900640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152900640 is an abundant number, since it is smaller than the sum of its proper divisors (368877708).

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

152900640 is a wasteful number, since it uses less digits than its factorization.

152900640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106202 (or 106191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 152900640 is about 12365.2998346178. The cubic root of 152900640 is about 534.7323201641.

Adding to 152900640 its reverse (46009251), we get a palindrome (198909891).

The spelling of 152900640 in words is "one hundred fifty-two million, nine hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 106181 212362 318543 424724 530905 637086 849448 955629 1061810 1274172 1592715 1698896 1911258 2123620 2548344 3185430 3397792 3822516 4247240 4778145 5096688 6370860 7645032 8494480 9556290 10193376 12741720 15290064 16988960 19112580 25483440 30580128 38225160 50966880 76450320 152900640