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116746896 = 24372315107
BaseRepresentation
bin1101111010101…
…10101010010000
322010200100122010
412331112222100
5214341400041
615330142520
72615221650
oct675265220
9263610563
10116746896
115a99a742
1233121a40
131b258306
1411710360
15a3b1a16
hex6f56a90

116746896 has 80 divisors (see below), whose sum is σ = 359691264. Its totient is φ = 31903872.

The previous prime is 116746859. The next prime is 116746901. The reversal of 116746896 is 698647611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 175 + ... + 15281.

Almost surely, 2116746896 is an apocalyptic number.

116746896 is a gapful number since it is divisible by the number (16) 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 116746896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179845632).

116746896 is an abundant number, since it is smaller than the sum of its proper divisors (242944368).

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

116746896 is a wasteful number, since it uses less digits than its factorization.

116746896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15148 (or 15142 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 116746896 is about 10804.9477555424. The cubic root of 116746896 is about 488.7443848710.

The spelling of 116746896 in words is "one hundred sixteen million, seven hundred forty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 15107 30214 45321 60428 90642 105749 120856 181284 211498 241712 317247 347461 362568 422996 634494 694922 725136 845992 1042383 1268988 1389844 1691984 2084766 2432227 2537976 2779688 4169532 4864454 5075952 5559376 7296681 8339064 9728908 14593362 16678128 19457816 29186724 38915632 58373448 116746896