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145466040 = 23356012017
BaseRepresentation
bin10001010101110…
…10001010111000
3101010201102220010
420222322022320
5244214403130
622233501520
73414304146
oct1052721270
9333642803
10145466040
1175125875
12408718a0
13241a22a5
1415468596
15cb860b0
hex8aba2b8

145466040 has 64 divisors (see below), whose sum is σ = 437340960. Its totient is φ = 38707200.

The previous prime is 145466021. The next prime is 145466063. The reversal of 145466040 is 40664541.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 145465989 and 145466007.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 71112 + ... + 73128.

Almost surely, 2145466040 is an apocalyptic number.

145466040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145466040 is an abundant number, since it is smaller than the sum of its proper divisors (291874920).

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

145466040 is a wasteful number, since it uses less digits than its factorization.

145466040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2628 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 145466040 is about 12060.9303123764. The cubic root of 145466040 is about 525.9210317726.

The spelling of 145466040 in words is "one hundred forty-five million, four hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 601 1202 1803 2017 2404 3005 3606 4034 4808 6010 6051 7212 8068 9015 10085 12020 12102 14424 16136 18030 20170 24040 24204 30255 36060 40340 48408 60510 72120 80680 121020 242040 1212217 2424434 3636651 4848868 6061085 7273302 9697736 12122170 14546604 18183255 24244340 29093208 36366510 48488680 72733020 145466040