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145359520 = 2551753441
BaseRepresentation
bin10001010101000…
…00001010100000
3101010112000202221
420222200022200
5244203001040
622231320424
73413351455
oct1052401240
9333460687
10145359520
1175062839
1240820114
1324165967
141543b82c
15cb6474a
hex8aa02a0

145359520 has 48 divisors (see below), whose sum is σ = 363619368. Its totient is φ = 54722560.

The previous prime is 145359497. The next prime is 145359541. The reversal of 145359520 is 25953541.

It can be written as a sum of positive squares in 4 ways, for example, as 137452176 + 7907344 = 11724^2 + 2812^2 .

It is a super-2 number, since 2×1453595202 = 42258780109260800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 24001 + ... + 29440.

Almost surely, 2145359520 is an apocalyptic number.

145359520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145359520 is an abundant number, since it is smaller than the sum of its proper divisors (218259848).

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

145359520 is a wasteful number, since it uses less digits than its factorization.

145359520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53473 (or 53465 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 34.

The square root of 145359520 is about 12056.5135922455. The cubic root of 145359520 is about 525.7926288637.

The spelling of 145359520 in words is "one hundred forty-five million, three hundred fifty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 53441 106882 213764 267205 427528 534410 855056 908497 1068820 1710112 1816994 2137640 3633988 4275280 4542485 7267976 8550560 9084970 14535952 18169940 29071904 36339880 72679760 145359520