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145298920 = 23513279421
BaseRepresentation
bin10001010100100…
…01010111101000
3101010101221122111
420222101113220
5244144031140
622230132104
73413010004
oct1052212750
9333357574
10145298920
1175021258
12407b1034
13241441c0
1415423704
15cb517ea
hex8a915e8

145298920 has 32 divisors (see below), whose sum is σ = 352071720. Its totient is φ = 53648640.

The previous prime is 145298893. The next prime is 145298921. The reversal of 145298920 is 29892541.

It can be written as a sum of positive squares in 4 ways, for example, as 107868996 + 37429924 = 10386^2 + 6118^2 .

It is a super-2 number, since 2×1452989202 = 42223552306332800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (145298921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139191 + ... + 140230.

Almost surely, 2145298920 is an apocalyptic number.

145298920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145298920 is an abundant number, since it is smaller than the sum of its proper divisors (206772800).

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

145298920 is a wasteful number, since it uses less digits than its factorization.

145298920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279445 (or 279441 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 145298920 is about 12054.0001659200. Note that the first 3 decimals coincide. The cubic root of 145298920 is about 525.7195515214.

The spelling of 145298920 in words is "one hundred forty-five million, two hundred ninety-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 279421 558842 1117684 1397105 2235368 2794210 3632473 5588420 7264946 11176840 14529892 18162365 29059784 36324730 72649460 145298920