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116662464 = 2633181373
BaseRepresentation
bin1101111010000…
…10000011000000
322010112001211000
412331002003000
5214331144324
615324252000
72614420542
oct675020300
9263461730
10116662464
115a942266
12330a1000
131b228a59
14116cb692
15a3969c9
hex6f420c0

116662464 has 112 divisors (see below), whose sum is σ = 345785440. Its totient is φ = 38568960.

The previous prime is 116662453. The next prime is 116662471. The reversal of 116662464 is 464266611.

It is a super-2 number, since 2×1166624642 = 27220261013102592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 312582 + ... + 312954.

It is an arithmetic number, because the mean of its divisors is an integer number (3087370).

Almost surely, 2116662464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172892720).

116662464 is an abundant number, since it is smaller than the sum of its proper divisors (229122976).

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

116662464 is a wasteful number, since it uses less digits than its factorization.

116662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 559 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 116662464 is about 10801.0399499307. The cubic root of 116662464 is about 488.6265355772.

The spelling of 116662464 in words is "one hundred sixteen million, six hundred sixty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 181 192 216 288 362 373 432 543 576 724 746 864 1086 1119 1448 1492 1629 1728 2172 2238 2896 2984 3258 3357 4344 4476 4887 5792 5968 6516 6714 8688 8952 9774 10071 11584 11936 13032 13428 17376 17904 19548 20142 23872 26064 26856 34752 35808 39096 40284 52128 53712 67513 71616 78192 80568 104256 107424 135026 156384 161136 202539 214848 270052 312768 322272 405078 540104 607617 644544 810156 1080208 1215234 1620312 1822851 2160416 2430468 3240624 3645702 4320832 4860936 6481248 7291404 9721872 12962496 14582808 19443744 29165616 38887488 58331232 116662464