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117521460 = 223257194909
BaseRepresentation
bin1110000000100…
…11110000110100
322012010201010200
413000103300310
5220041141320
615354520500
72624626110
oct700236064
9265121120
10117521460
1160379681
1233436130
131b469a34
1411872740
15a4b6290
hex7013c34

117521460 has 144 divisors (see below), whose sum is σ = 428937600. Its totient is φ = 25443072.

The previous prime is 117521419. The next prime is 117521461. The reversal of 117521460 is 64125711.

It is a happy number.

It is a super-2 number, since 2×1175214602 = 27622587121063200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117521461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21486 + ... + 26394.

Almost surely, 2117521460 is an apocalyptic number.

117521460 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 117521460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214468800).

117521460 is an abundant number, since it is smaller than the sum of its proper divisors (311416140).

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

117521460 is a wasteful number, since it uses less digits than its factorization.

117521460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4950 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 117521460 is about 10840.7315251324. The cubic root of 117521460 is about 489.8228708659.

The spelling of 117521460 in words is "one hundred seventeen million, five hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 315 342 380 399 420 532 570 630 665 684 798 855 1140 1197 1260 1330 1596 1710 1995 2394 2660 3420 3990 4788 4909 5985 7980 9818 11970 14727 19636 23940 24545 29454 34363 44181 49090 58908 68726 73635 88362 93271 98180 103089 137452 147270 171815 176724 186542 206178 220905 279813 294540 309267 343630 373084 412356 441810 466355 515445 559626 618534 652897 687260 839439 883620 932710 1030890 1119252 1237068 1305794 1399065 1546335 1678878 1865420 1958691 2061780 2611588 2798130 3092670 3264485 3357756 3917382 4197195 5596260 5876073 6185340 6528970 7834764 8394390 9793455 11752146 13057940 16788780 19586910 23504292 29380365 39173820 58760730 117521460