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122091480 = 23325748449
BaseRepresentation
bin1110100011011…
…11011111011000
322111201220000200
413101233133120
5222223411410
620040502200
73011521560
oct721573730
9274656020
10122091480
1162a10155
1234a7a960
131c3a9ba4
1412301da0
15aaba3c0
hex746f7d8

122091480 has 96 divisors (see below), whose sum is σ = 453492000. Its totient is φ = 27906048.

The previous prime is 122091457. The next prime is 122091509. The reversal of 122091480 is 84190221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21705 + ... + 26744.

It is an arithmetic number, because the mean of its divisors is an integer number (4723875).

Almost surely, 2122091480 is an apocalyptic number.

122091480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122091480 is an abundant number, since it is smaller than the sum of its proper divisors (331400520).

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

122091480 is a wasteful number, since it uses less digits than its factorization.

122091480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48473 (or 48466 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 122091480 is about 11049.5013462147. The cubic root of 122091480 is about 496.0915002023.

It can be divided in two parts, 12209 and 1480, that added together give a square (13689 = 1172).

The spelling of 122091480 in words is "one hundred twenty-two million, ninety-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 56 60 63 70 72 84 90 105 120 126 140 168 180 210 252 280 315 360 420 504 630 840 1260 2520 48449 96898 145347 193796 242245 290694 339143 387592 436041 484490 581388 678286 726735 872082 968980 1017429 1162776 1356572 1453470 1695715 1744164 1937960 2034858 2180205 2713144 2906940 3052287 3391430 3488328 4069716 4360410 5087145 5813880 6104574 6782860 8139432 8720820 10174290 12209148 13565720 15261435 17441640 20348580 24418296 30522870 40697160 61045740 122091480