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145557480 = 23351963841
BaseRepresentation
bin10001010110100…
…00011111101000
3101010220002022210
420223100133220
5244230314410
622235445120
73415134555
oct1053203750
9333802283
10145557480
1175188542
12408b67a0
1324204ab3
141548da2c
15cba3220
hex8ad07e8

145557480 has 64 divisors (see below), whose sum is σ = 459662400. Its totient is φ = 36771840.

The previous prime is 145557479. The next prime is 145557487. The reversal of 145557480 is 84755541.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (145557487) by changing a digit.

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, 29641 + ... + 34200.

It is an arithmetic number, because the mean of its divisors is an integer number (7182225).

Almost surely, 2145557480 is an apocalyptic number.

145557480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145557480 is an abundant number, since it is smaller than the sum of its proper divisors (314104920).

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

145557480 is a wasteful number, since it uses less digits than its factorization.

145557480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63874 (or 63870 counting only the distinct ones).

The product of its (nonzero) digits is 112000, while the sum is 39.

The square root of 145557480 is about 12064.7204692028. The cubic root of 145557480 is about 526.0312067343.

The spelling of 145557480 in words is "one hundred forty-five million, five hundred fifty-seven thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 63841 127682 191523 255364 319205 383046 510728 638410 766092 957615 1212979 1276820 1532184 1915230 2425958 2553640 3638937 3830460 4851916 6064895 7277874 7660920 9703832 12129790 14555748 18194685 24259580 29111496 36389370 48519160 72778740 145557480