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117869940 = 223252371401
BaseRepresentation
bin1110000011010…
…00110101110100
322012210102011100
413001220311310
5220133314230
615410210100
72630610066
oct701506564
9265712140
10117869940
1160597481
1233583930
131b55c536
1411923736
15a534660
hex7068d74

117869940 has 144 divisors (see below), whose sum is σ = 379282176. Its totient is φ = 29568000.

The previous prime is 117869911. The next prime is 117869953. The reversal of 117869940 is 49968711.

It is a happy number.

Together with 261412235 it forms a betrothed pair.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 293740 + ... + 294140.

It is an arithmetic number, because the mean of its divisors is an integer number (2633904).

Almost surely, 2117869940 is an apocalyptic number.

117869940 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 117869940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189641088).

117869940 is an abundant number, since it is smaller than the sum of its proper divisors (261412236).

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

117869940 is a wasteful number, since it uses less digits than its factorization.

117869940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 117869940 is about 10856.7923439661. The cubic root of 117869940 is about 490.3065414948.

The spelling of 117869940 in words is "one hundred seventeen million, eight hundred sixty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 45 46 60 69 71 90 92 115 138 142 180 207 213 230 276 284 345 355 401 414 426 460 639 690 710 802 828 852 1035 1065 1203 1278 1380 1420 1604 1633 2005 2070 2130 2406 2556 3195 3266 3609 4010 4140 4260 4812 4899 6015 6390 6532 7218 8020 8165 9223 9798 12030 12780 14436 14697 16330 18045 18446 19596 24060 24495 27669 28471 29394 32660 36090 36892 46115 48990 55338 56942 58788 72180 73485 83007 85413 92230 97980 110676 113884 138345 142355 146970 166014 170826 184460 256239 276690 284710 293940 332028 341652 415035 427065 512478 553380 569420 654833 830070 854130 1024956 1281195 1309666 1660140 1708260 1964499 2562390 2619332 3274165 3928998 5124780 5893497 6548330 7857996 9822495 11786994 13096660 19644990 23573988 29467485 39289980 58934970 117869940