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122482920 = 23357433391
BaseRepresentation
bin1110100110011…
…11000011101000
322112110202222110
413103033003220
5222323423140
620053122320
73015042030
oct723170350
9275422873
10122482920
116315825a
12350293a0
131c4b6101
14123a48c0
15ab46380
hex74cf0e8

122482920 has 128 divisors (see below), whose sum is σ = 429834240. Its totient is φ = 27336960.

The previous prime is 122482907. The next prime is 122482933. The reversal of 122482920 is 29284221.

It is an interprime number because it is at equal distance from previous prime (122482907) and next prime (122482933).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34425 + ... + 37815.

It is an arithmetic number, because the mean of its divisors is an integer number (3358080).

Almost surely, 2122482920 is an apocalyptic number.

122482920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122482920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214917120).

122482920 is an abundant number, since it is smaller than the sum of its proper divisors (307351320).

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

122482920 is a wasteful number, since it uses less digits than its factorization.

122482920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3455 (or 3451 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 122482920 is about 11067.2001879427. The cubic root of 122482920 is about 496.6211109866.

The spelling of 122482920 in words is "one hundred twenty-two million, four hundred eighty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 43 56 60 70 84 86 105 120 129 140 168 172 210 215 258 280 301 344 420 430 516 602 645 840 860 903 1032 1204 1290 1505 1720 1806 2408 2580 3010 3391 3612 4515 5160 6020 6782 7224 9030 10173 12040 13564 16955 18060 20346 23737 27128 33910 36120 40692 47474 50865 67820 71211 81384 94948 101730 118685 135640 142422 145813 189896 203460 237370 284844 291626 356055 406920 437439 474740 569688 583252 712110 729065 874878 949480 1020691 1166504 1424220 1458130 1749756 2041382 2187195 2848440 2916260 3062073 3499512 4082764 4374390 5103455 5832520 6124146 8165528 8748780 10206910 12248292 15310365 17497560 20413820 24496584 30620730 40827640 61241460 122482920