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122053620 = 223513167937
BaseRepresentation
bin1110100011001…
…10001111110100
322111122222002110
413101212033310
5222221203440
620040011020
73011303313
oct721461764
9274588073
10122053620
1162994767
1234a60a70
131c3958a0
14122d227a
15aaae080
hex74663f4

122053620 has 96 divisors (see below), whose sum is σ = 370637568. Its totient is φ = 29832192.

The previous prime is 122053609. The next prime is 122053627. The reversal of 122053620 is 26350221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122053627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129792 + ... + 130728.

It is an arithmetic number, because the mean of its divisors is an integer number (3860808).

Almost surely, 2122053620 is an apocalyptic number.

122053620 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 122053620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185318784).

122053620 is an abundant number, since it is smaller than the sum of its proper divisors (248583948).

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

122053620 is a wasteful number, since it uses less digits than its factorization.

122053620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 122053620 is about 11047.7880138967. The cubic root of 122053620 is about 496.0402163454.

The spelling of 122053620 in words is "one hundred twenty-two million, fifty-three thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 167 195 260 334 390 501 668 780 835 937 1002 1670 1874 2004 2171 2505 2811 3340 3748 4342 4685 5010 5622 6513 8684 9370 10020 10855 11244 12181 13026 14055 18740 21710 24362 26052 28110 32565 36543 43420 48724 56220 60905 65130 73086 121810 130260 146172 156479 182715 243620 312958 365430 469437 625916 730860 782395 938874 1564790 1877748 2034227 2347185 3129580 4068454 4694370 6102681 8136908 9388740 10171135 12205362 20342270 24410724 30513405 40684540 61026810 122053620