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122740880 = 24523411627
BaseRepresentation
bin1110101000011…
…10000010010000
322112221212211112
413110032002100
5222410202010
620102432452
73020165063
oct724160220
9275855745
10122740880
1163314049
1235132728
131c576652
14124308da
15ab97a05
hex750e090

122740880 has 80 divisors (see below), whose sum is σ = 305230464. Its totient is φ = 45788160.

The previous prime is 122740861. The next prime is 122740883. The reversal of 122740880 is 88047221.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (122740883) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74627 + ... + 76253.

Almost surely, 2122740880 is an apocalyptic number.

122740880 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 122740880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152615232).

122740880 is an abundant number, since it is smaller than the sum of its proper divisors (182489584).

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

122740880 is a wasteful number, since it uses less digits than its factorization.

122740880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 32.

The square root of 122740880 is about 11078.8483155967. The cubic root of 122740880 is about 496.9695093618.

The spelling of 122740880 in words is "one hundred twenty-two million, seven hundred forty thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 41 46 80 82 92 115 164 184 205 230 328 368 410 460 656 820 920 943 1627 1640 1840 1886 3254 3280 3772 4715 6508 7544 8135 9430 13016 15088 16270 18860 26032 32540 37421 37720 65080 66707 74842 75440 130160 133414 149684 187105 266828 299368 333535 374210 533656 598736 667070 748420 1067312 1334140 1496840 1534261 2668280 2993680 3068522 5336560 6137044 7671305 12274088 15342610 24548176 30685220 61370440 122740880