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116037376 = 2871317293
BaseRepresentation
bin1101110101010…
…01011100000000
322002100022100121
412322221130000
5214201144001
615303030024
72606205250
oct672513400
9262308317
10116037376
115a555664
1232a3b314
131b06a390
14115a7960
15a2c16a1
hex6ea9700

116037376 has 144 divisors (see below), whose sum is σ = 302871744. Its totient is φ = 43057152.

The previous prime is 116037373. The next prime is 116037377. The reversal of 116037376 is 673730611.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116037373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395886 + ... + 396178.

It is an arithmetic number, because the mean of its divisors is an integer number (2103276).

Almost surely, 2116037376 is an apocalyptic number.

116037376 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 116037376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151435872).

116037376 is an abundant number, since it is smaller than the sum of its proper divisors (186834368).

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

116037376 is a wasteful number, since it uses less digits than its factorization.

116037376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 332 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 34.

The square root of 116037376 is about 10772.0646117632. The cubic root of 116037376 is about 487.7522705726.

Adding to 116037376 its reverse (673730611), we get a palindrome (789767987).

The spelling of 116037376 in words is "one hundred sixteen million, thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 293 364 416 442 448 476 544 586 728 832 884 896 952 1088 1172 1456 1547 1664 1768 1792 1904 2051 2176 2344 2912 3094 3328 3536 3808 3809 4102 4352 4688 4981 5824 6188 7072 7616 7618 8204 9376 9962 11648 12376 14144 15232 15236 16408 18752 19924 23296 24752 26663 28288 30464 30472 32816 34867 37504 39848 49504 53326 56576 60944 64753 65632 69734 75008 79696 99008 106652 121888 129506 131264 139468 159392 198016 213304 243776 259012 262528 278936 318784 396032 426608 453271 487552 518024 525056 557872 637568 853216 906542 975104 1036048 1115744 1275136 1706432 1813084 2072096 2231488 3412864 3626168 4144192 4462976 6825728 7252336 8288384 8925952 14504672 16576768 29009344 58018688 116037376