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116584944 = 2437595881
BaseRepresentation
bin1101111001011…
…11000111110000
322010101010110220
412330233013300
5214321204234
615322453040
72613645540
oct674570760
9263333426
10116584944
115a899aa3
1233064180
131b1cc698
14116ab320
15a37da49
hex6f2f1f0

116584944 has 80 divisors (see below), whose sum is σ = 350096640. Its totient is φ = 32739840.

The previous prime is 116584939. The next prime is 116584973. The reversal of 116584944 is 449485611.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 116584896 and 116584905.

It is a congruent number.

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, 16884 + ... + 22764.

It is an arithmetic number, because the mean of its divisors is an integer number (4376208).

Almost surely, 2116584944 is an apocalyptic number.

116584944 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 116584944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175048320).

116584944 is an abundant number, since it is smaller than the sum of its proper divisors (233511696).

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

116584944 is a wasteful number, since it uses less digits than its factorization.

116584944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5958 (or 5952 counting only the distinct ones).

The product of its digits is 138240, while the sum is 42.

The square root of 116584944 is about 10797.4508102607. The cubic root of 116584944 is about 488.5182839007.

The spelling of 116584944 in words is "one hundred sixteen million, five hundred eighty-four thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 59 84 112 118 168 177 236 336 354 413 472 708 826 944 1239 1416 1652 2478 2832 3304 4956 5881 6608 9912 11762 17643 19824 23524 35286 41167 47048 70572 82334 94096 123501 141144 164668 247002 282288 329336 346979 494004 658672 693958 988008 1040937 1387916 1976016 2081874 2428853 2775832 4163748 4857706 5551664 7286559 8327496 9715412 14573118 16654992 19430824 29146236 38861648 58292472 116584944