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122345680 = 2453741333
BaseRepresentation
bin1110100101011…
…01100011010000
322112012210201111
413102231203100
5222310030210
620050143104
73013630642
oct722554320
9275183644
10122345680
1163074136
1234b81a94
131c4687c2
141236a892
15ab1a88a
hex74ad8d0

122345680 has 40 divisors (see below), whose sum is σ = 292148712. Its totient is φ = 47614464.

The previous prime is 122345669. The next prime is 122345761. The reversal of 122345680 is 86543221.

It can be written as a sum of positive squares in 4 ways, for example, as 66455104 + 55890576 = 8152^2 + 7476^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 17707 + ... + 23626.

Almost surely, 2122345680 is an apocalyptic number.

122345680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122345680 is an abundant number, since it is smaller than the sum of its proper divisors (169803032).

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

122345680 is a wasteful number, since it uses less digits than its factorization.

122345680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41383 (or 41377 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 122345680 is about 11060.9981466412. The cubic root of 122345680 is about 496.4355565351.

The spelling of 122345680 in words is "one hundred twenty-two million, three hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 41333 82666 165332 206665 330664 413330 661328 826660 1529321 1653320 3058642 3306640 6117284 7646605 12234568 15293210 24469136 30586420 61172840 122345680