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122430960 = 2433556681
BaseRepresentation
bin1110100110000…
…10010111110000
322112101010201000
413103002113300
5222320242320
620052042000
73014434401
oct723022760
9275333630
10122430960
1163122213
1235003300
131c498572
141238d9a8
15ab35c90
hex74c25f0

122430960 has 80 divisors (see below), whose sum is σ = 421714080. Its totient is φ = 32647680.

The previous prime is 122430947. The next prime is 122430967. The reversal of 122430960 is 69034221.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122430967) 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, 26181 + ... + 30500.

It is an arithmetic number, because the mean of its divisors is an integer number (5271426).

Almost surely, 2122430960 is an apocalyptic number.

122430960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122430960 is an abundant number, since it is smaller than the sum of its proper divisors (299283120).

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

122430960 is a wasteful number, since it uses less digits than its factorization.

122430960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56703 (or 56691 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 122430960 is about 11064.8524617367. The cubic root of 122430960 is about 496.5508751183.

The spelling of 122430960 in words is "one hundred twenty-two million, four hundred thirty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 56681 113362 170043 226724 283405 340086 453448 510129 566810 680172 850215 906896 1020258 1133620 1360344 1530387 1700430 2040516 2267240 2550645 2720688 3060774 3400860 4081032 4534480 5101290 6121548 6801720 7651935 8162064 10202580 12243096 13603440 15303870 20405160 24486192 30607740 40810320 61215480 122430960