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116196864 = 2937101107
BaseRepresentation
bin1101110110100…
…00011000000000
322002122102010120
412323100120000
5214221244424
615310300240
72610441240
oct673203000
9262572116
10116196864
115a654473
1232ab7680
131b0c4b54
1411609b20
15a303a79
hex6ed0600

116196864 has 160 divisors (see below), whose sum is σ = 360619776. Its totient is φ = 32563200.

The previous prime is 116196859. The next prime is 116196889. The reversal of 116196864 is 468691611.

It is a super-2 number, since 2×1161968642 = 27003422406868992, which contains 22 as substring.

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

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, 1085899 + ... + 1086005.

Almost surely, 2116196864 is an apocalyptic number.

116196864 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 116196864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180309888).

116196864 is an abundant number, since it is smaller than the sum of its proper divisors (244422912).

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

116196864 is a wasteful number, since it uses less digits than its factorization.

116196864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 220 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 116196864 is about 10779.4649217853. The cubic root of 116196864 is about 487.9756325735.

The spelling of 116196864 in words is "one hundred sixteen million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 107 112 128 168 192 202 214 224 256 303 321 336 384 404 428 448 512 606 642 672 707 749 768 808 856 896 1212 1284 1344 1414 1498 1536 1616 1712 1792 2121 2247 2424 2568 2688 2828 2996 3232 3424 3584 4242 4494 4848 5136 5376 5656 5992 6464 6848 8484 8988 9696 10272 10752 10807 11312 11984 12928 13696 16968 17976 19392 20544 21614 22624 23968 25856 27392 32421 33936 35952 38784 41088 43228 45248 47936 51712 54784 64842 67872 71904 75649 77568 82176 86456 90496 95872 129684 135744 143808 151298 155136 164352 172912 180992 191744 226947 259368 271488 287616 302596 345824 361984 383488 453894 518736 542976 575232 605192 691648 907788 1037472 1085952 1150464 1210384 1383296 1815576 2074944 2420768 2766592 3631152 4149888 4841536 5533184 7262304 8299776 9683072 14524608 16599552 19366144 29049216 38732288 58098432 116196864