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122352480 = 2532584967
BaseRepresentation
bin1110100101011…
…11001101100000
322112020011001100
413102233031200
5222310234410
620050234400
73013656525
oct722571540
9275204040
10122352480
1163079258
1234b85a00
131c46b923
141236d14c
15ab1c8c0
hex74af360

122352480 has 72 divisors (see below), whose sum is σ = 417532752. Its totient is φ = 32626944.

The previous prime is 122352473. The next prime is 122352493. The reversal of 122352480 is 84253221.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41044 + ... + 43923.

It is an arithmetic number, because the mean of its divisors is an integer number (5799066).

Almost surely, 2122352480 is an apocalyptic number.

122352480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122352480 is an abundant number, since it is smaller than the sum of its proper divisors (295180272).

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

122352480 is a wasteful number, since it uses less digits than its factorization.

122352480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84988 (or 84977 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 122352480 is about 11061.3055287339. The cubic root of 122352480 is about 496.4447536975. Note that the first 3 decimals are identical.

The spelling of 122352480 in words is "one hundred twenty-two million, three hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 84967 169934 254901 339868 424835 509802 679736 764703 849670 1019604 1274505 1359472 1529406 1699340 2039208 2549010 2718944 3058812 3398680 3823515 4078416 5098020 6117624 6797360 7647030 8156832 10196040 12235248 13594720 15294060 20392080 24470496 30588120 40784160 61176240 122352480