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116158464 = 2123223137
BaseRepresentation
bin1101110110001…
…11000000000000
322002120110110100
412323013000000
5214214032324
615305402400
72610221262
oct673070000
9262513410
10116158464
115a628634
1232a99400
131b0b0526
14115d9b32
15a2e74c9
hex6ec7000

116158464 has 156 divisors (see below), whose sum is σ = 352671696. Its totient is φ = 36765696.

The previous prime is 116158447. The next prime is 116158477. The reversal of 116158464 is 464851611.

116158464 is a `hidden beast` number, since 1 + 16 + 1 + 584 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 847804 + ... + 847940.

It is an arithmetic number, because the mean of its divisors is an integer number (2260716).

Almost surely, 2116158464 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 116158464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176335848).

116158464 is an abundant number, since it is smaller than the sum of its proper divisors (236513232).

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

116158464 is a wasteful number, since it uses less digits than its factorization.

116158464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 165 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 116158464 is about 10777.6836101270. The cubic root of 116158464 is about 487.9218722906.

The spelling of 116158464 in words is "one hundred sixteen million, one hundred fifty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 137 138 144 184 192 207 256 274 276 288 368 384 411 414 512 548 552 576 736 768 822 828 1024 1096 1104 1152 1233 1472 1536 1644 1656 2048 2192 2208 2304 2466 2944 3072 3151 3288 3312 4096 4384 4416 4608 4932 5888 6144 6302 6576 6624 8768 8832 9216 9453 9864 11776 12288 12604 13152 13248 17536 17664 18432 18906 19728 23552 25208 26304 26496 28359 35072 35328 36864 37812 39456 47104 50416 52608 52992 56718 70144 70656 75624 78912 94208 100832 105216 105984 113436 140288 141312 151248 157824 201664 210432 211968 226872 280576 282624 302496 315648 403328 420864 423936 453744 561152 604992 631296 806656 841728 847872 907488 1209984 1262592 1613312 1683456 1814976 2419968 2525184 3226624 3629952 4839936 5050368 6453248 7259904 9679872 12906496 14519808 19359744 29039616 38719488 58079232 116158464