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116630304 = 2537197881
BaseRepresentation
bin1101111001110…
…10001100100000
322010110102200220
412330322030200
5214324132204
615323443040
72614225020
oct674721440
9263412626
10116630304
115a92008a
1233086480
131b21721b
14116bda80
15a38c1d9
hex6f3a320

116630304 has 96 divisors (see below), whose sum is σ = 352066176. Its totient is φ = 33116160.

The previous prime is 116630291. The next prime is 116630329. The reversal of 116630304 is 403036611.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1166303042 = 27205255622264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131944 + ... + 132824.

It is an arithmetic number, because the mean of its divisors is an integer number (3667356).

Almost surely, 2116630304 is an apocalyptic number.

116630304 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 116630304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176033088).

116630304 is an abundant number, since it is smaller than the sum of its proper divisors (235435872).

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

116630304 is a wasteful number, since it uses less digits than its factorization.

116630304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1090 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 116630304 is about 10799.5511017820. The cubic root of 116630304 is about 488.5816320352.

Adding to 116630304 its reverse (403036611), we get a palindrome (519666915).

The spelling of 116630304 in words is "one hundred sixteen million, six hundred thirty thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 197 224 336 394 591 672 788 881 1182 1379 1576 1762 2364 2643 2758 3152 3524 4137 4728 5286 5516 6167 6304 7048 8274 9456 10572 11032 12334 14096 16548 18501 18912 21144 22064 24668 28192 33096 37002 42288 44128 49336 66192 74004 84576 98672 132384 148008 173557 197344 296016 347114 520671 592032 694228 1041342 1214899 1388456 2082684 2429798 2776912 3644697 4165368 4859596 5553824 7289394 8330736 9719192 14578788 16661472 19438384 29157576 38876768 58315152 116630304