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117624060 = 2232519163211
BaseRepresentation
bin1110000001011…
…00110011111100
322012022220212200
413000230303330
5220102432220
615401031500
72625534201
oct700546374
9265286780
10117624060
1160439774
1233485590
131b4a4648
141189bca8
15a4d6890
hex702ccfc

117624060 has 144 divisors (see below), whose sum is σ = 379666560. Its totient is φ = 29393280.

The previous prime is 117624053. The next prime is 117624077. The reversal of 117624060 is 60426711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557355 + ... + 557565.

Almost surely, 2117624060 is an apocalyptic number.

117624060 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 117624060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189833280).

117624060 is an abundant number, since it is smaller than the sum of its proper divisors (262042500).

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

117624060 is a wasteful number, since it uses less digits than its factorization.

117624060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 117624060 is about 10845.4626457335. The cubic root of 117624060 is about 489.9653730910.

The spelling of 117624060 in words is "one hundred seventeen million, six hundred twenty-four thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 163 171 180 190 211 228 285 326 342 380 422 489 570 633 652 684 815 844 855 978 1055 1140 1266 1467 1630 1710 1899 1956 2110 2445 2532 2934 3097 3165 3260 3420 3798 4009 4220 4890 5868 6194 6330 7335 7596 8018 9291 9495 9780 12027 12388 12660 14670 15485 16036 18582 18990 20045 24054 27873 29340 30970 34393 36081 37164 37980 40090 46455 48108 55746 60135 61940 68786 72162 80180 92910 103179 111492 120270 137572 139365 144324 171965 180405 185820 206358 240540 278730 309537 343930 360810 412716 515895 557460 619074 653467 687860 721620 1031790 1238148 1306934 1547685 1960401 2063580 2613868 3095370 3267335 3920802 5881203 6190740 6534670 7841604 9802005 11762406 13069340 19604010 23524812 29406015 39208020 58812030 117624060