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481874120 = 235713132383
BaseRepresentation
bin11100101110001…
…101000011001000
31020120201202000122
4130232031003020
51441324432440
6115452122412
714640601550
oct3456150310
91216652018
10481874120
11228007182
12115466408
1378aa9a20
1447dd8160
152c4877b5
hex1cb8d0c8

481874120 has 64 divisors (see below), whose sum is σ = 1334430720. Its totient is φ = 152504064.

The previous prime is 481874119. The next prime is 481874147. The reversal of 481874120 is 21478184.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 62552 + ... + 69831.

It is an arithmetic number, because the mean of its divisors is an integer number (20850480).

Almost surely, 2481874120 is an apocalyptic number.

481874120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

481874120 is an abundant number, since it is smaller than the sum of its proper divisors (852556600).

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

481874120 is a wasteful number, since it uses less digits than its factorization.

481874120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132414 (or 132410 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 35.

The square root of 481874120 is about 21951.6313744560. The cubic root of 481874120 is about 783.9912231768.

The spelling of 481874120 in words is "four hundred eighty-one million, eight hundred seventy-four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3640 132383 264766 529532 661915 926681 1059064 1323830 1720979 1853362 2647660 3441958 3706724 4633405 5295320 6883916 7413448 8604895 9266810 12046853 13767832 17209790 18533620 24093706 34419580 37067240 48187412 60234265 68839160 96374824 120468530 240937060 481874120