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152251040 = 2554123209
BaseRepresentation
bin10010001001100…
…10101010100000
3101121111011011102
421010302222200
5302434013130
623035133532
73526053404
oct1104625240
9347434142
10152251040
1178a3a507
1242ba42a8
1325709696
1416313104
15d576645
hex9132aa0

152251040 has 48 divisors (see below), whose sum is σ = 368481960. Its totient is φ = 59412480.

The previous prime is 152251019. The next prime is 152251067. The reversal of 152251040 is 40152251.

It can be written as a sum of positive squares in 4 ways, for example, as 101042704 + 51208336 = 10052^2 + 7156^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5045 + ... + 18164.

Almost surely, 2152251040 is an apocalyptic number.

152251040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

152251040 is an abundant number, since it is smaller than the sum of its proper divisors (216230920).

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

152251040 is a wasteful number, since it uses less digits than its factorization.

152251040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23265 (or 23257 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 152251040 is about 12339.0048221078. The cubic root of 152251040 is about 533.9739732110.

The spelling of 152251040 in words is "one hundred fifty-two million, two hundred fifty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 23209 46418 92836 116045 185672 232090 371344 464180 742688 928360 951569 1856720 1903138 3713440 3806276 4757845 7612552 9515690 15225104 19031380 30450208 38062760 76125520 152251040