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116123644 = 227133141251
BaseRepresentation
bin1101110101111…
…10011111111100
322002111200200201
412322332133330
5214211424034
615304533244
72610014620
oct672763774
9262450621
10116123644
115a60445a
1232a81224
131b09a720
14115cb180
15a2dc014
hex6ebe7fc

116123644 has 96 divisors (see below), whose sum is σ = 265531392. Its totient is φ = 43200000.

The previous prime is 116123633. The next prime is 116123653. The reversal of 116123644 is 446321611.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 462519 + ... + 462769.

It is an arithmetic number, because the mean of its divisors is an integer number (2765952).

Almost surely, 2116123644 is an apocalyptic number.

116123644 is a gapful number since it is divisible by the number (14) 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 116123644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132765696).

116123644 is an abundant number, since it is smaller than the sum of its proper divisors (149407748).

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

116123644 is a wasteful number, since it uses less digits than its factorization.

116123644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347 (or 345 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The square root of 116123644 is about 10776.0681141129. The cubic root of 116123644 is about 487.8731137904.

The spelling of 116123644 in words is "one hundred sixteen million, one hundred twenty-three thousand, six hundred forty-four".

Divisors: 1 2 4 7 13 14 26 28 31 41 52 62 82 91 124 164 182 217 251 287 364 403 434 502 533 574 806 868 1004 1066 1148 1271 1612 1757 2132 2542 2821 3263 3514 3731 5084 5642 6526 7028 7462 7781 8897 10291 11284 13052 14924 15562 16523 17794 20582 22841 31124 33046 35588 41164 45682 54467 66092 72037 91364 101153 108934 115661 133783 144074 202306 217868 231322 267566 288148 319021 404612 462644 535132 638042 708071 936481 1276084 1416142 1872962 2233147 2832284 3745924 4147273 4466294 8294546 8932588 16589092 29030911 58061822 116123644