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152551040 = 275238361
BaseRepresentation
bin10010001011110…
…11111010000000
3101122001101200112
421011323322000
5303023113130
623045410452
73531443135
oct1105737200
9348041615
10152551040
1179124944
1243109a28
13257b30b5
141639058c
15d5d5495
hex917be80

152551040 has 32 divisors (see below), whose sum is σ = 364693860. Its totient is φ = 61020160.

The previous prime is 152551039. The next prime is 152551067. The reversal of 152551040 is 40155251.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 146119744 + 6431296 = 12088^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 152550997 and 152551015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118541 + ... + 119820.

Almost surely, 2152551040 is an apocalyptic number.

152551040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152551040 is an abundant number, since it is smaller than the sum of its proper divisors (212142820).

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

152551040 is an equidigital number, since it uses as much as digits as its factorization.

152551040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238380 (or 238368 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 152551040 is about 12351.1554115394. The cubic root of 152551040 is about 534.3244625325.

The spelling of 152551040 in words is "one hundred fifty-two million, five hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 238361 476722 953444 1191805 1906888 2383610 3813776 4767220 7627552 9534440 15255104 19068880 30510208 38137760 76275520 152551040