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117468640 = 25517192273
BaseRepresentation
bin1110000000001…
…10110111100000
322012001000200101
413000012313200
5220032444030
615353432144
72624316112
oct700066740
9265030611
10117468640
1160342a23
123340b654
131b44b993
141185b3b2
15a4a57ca
hex7006de0

117468640 has 96 divisors (see below), whose sum is σ = 309445920. Its totient is φ = 41877504.

The previous prime is 117468601. The next prime is 117468653. The reversal of 117468640 is 46864711.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 117468640.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 50544 + ... + 52816.

It is an arithmetic number, because the mean of its divisors is an integer number (3223395).

Almost surely, 2117468640 is an apocalyptic number.

117468640 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 117468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154722960).

117468640 is an abundant number, since it is smaller than the sum of its proper divisors (191977280).

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

117468640 is a wasteful number, since it uses less digits than its factorization.

117468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2324 (or 2316 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 117468640 is about 10838.2950688750. The cubic root of 117468640 is about 489.7494762674.

The spelling of 117468640 in words is "one hundred seventeen million, four hundred sixty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 19 20 32 34 38 40 68 76 80 85 95 136 152 160 170 190 272 304 323 340 380 544 608 646 680 760 1292 1360 1520 1615 2273 2584 2720 3040 3230 4546 5168 6460 9092 10336 11365 12920 18184 22730 25840 36368 38641 43187 45460 51680 72736 77282 86374 90920 154564 172748 181840 193205 215935 309128 345496 363680 386410 431870 618256 690992 734179 772820 863740 1236512 1381984 1468358 1545640 1727480 2936716 3091280 3454960 3670895 5873432 6182560 6909920 7341790 11746864 14683580 23493728 29367160 58734320 117468640