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122952940 = 22511223472
BaseRepresentation
bin1110101010000…
…01110011101100
322120100122201121
413111001303230
5222433443230
620111150324
73022040245
oct725016354
9276318647
10122952940
1163449400
12352153a4
131c61c026
1412487ccc
15abda77a
hex7541cec

122952940 has 108 divisors (see below), whose sum is σ = 302582448. Its totient is φ = 41856320.

The previous prime is 122952937. The next prime is 122952967. The reversal of 122952940 is 49259221.

It is a junction number, because it is equal to n+sod(n) for n = 122952896 and 122952905.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2615997 + ... + 2616043.

Almost surely, 2122952940 is an apocalyptic number.

122952940 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 122952940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151291224).

122952940 is an abundant number, since it is smaller than the sum of its proper divisors (179629508).

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

122952940 is a wasteful number, since it uses less digits than its factorization.

122952940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 122952940 is about 11088.4146747856. The cubic root of 122952940 is about 497.2555502191.

The spelling of 122952940 in words is "one hundred twenty-two million, nine hundred fifty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 47 55 92 94 110 115 121 188 220 230 235 242 253 460 470 484 506 517 605 940 1012 1034 1081 1210 1265 2068 2162 2209 2420 2530 2585 2783 4324 4418 5060 5170 5405 5566 5687 8836 10340 10810 11045 11132 11374 11891 13915 21620 22090 22748 23782 24299 27830 28435 44180 47564 48598 50807 55660 56870 59455 97196 101614 113740 118910 121495 130801 203228 237820 242990 254035 261602 267289 485980 508070 523204 534578 558877 654005 1016140 1069156 1117754 1308010 1336445 2235508 2616020 2672890 2794385 5345780 5588770 6147647 11177540 12295294 24590588 30738235 61476470 122952940