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122468240 = 2451530853
BaseRepresentation
bin1110100110010…
…11011110010000
322112110000211202
413103023132100
5222322440430
620052530332
73014651156
oct723133620
9275400752
10122468240
1163148224
12350209a8
131c4ac51b
141239d3d6
15ab41d45
hex74cb790

122468240 has 20 divisors (see below), whose sum is σ = 284738844. Its totient is φ = 48987264.

The previous prime is 122468233. The next prime is 122468251. The reversal of 122468240 is 42864221.

It can be written as a sum of positive squares in 2 ways, for example, as 20539024 + 101929216 = 4532^2 + 10096^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 765347 + ... + 765506.

Almost surely, 2122468240 is an apocalyptic number.

122468240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122468240 is an abundant number, since it is smaller than the sum of its proper divisors (162270604).

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

122468240 is a wasteful number, since it uses less digits than its factorization.

122468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1530866 (or 1530860 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 29.

The square root of 122468240 is about 11066.5369470309. The cubic root of 122468240 is about 496.6012696101.

The spelling of 122468240 in words is "one hundred twenty-two million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1530853 3061706 6123412 7654265 12246824 15308530 24493648 30617060 61234120 122468240