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116135424 = 293331271
BaseRepresentation
bin1101110110000…
…01011000000000
322002112021212000
412323001120000
5214212313144
615305104000
72610064146
oct673013000
9262467760
10116135424
115a612299
1232a88000
131b0a2bb2
14115d1596
15a2e0769
hex6ec1600

116135424 has 160 divisors (see below), whose sum is σ = 356167680. Its totient is φ = 37324800.

The previous prime is 116135417. The next prime is 116135431. The reversal of 116135424 is 424531611.

It is a happy number.

116135424 is a `hidden beast` number, since 1 + 1 + 613 + 5 + 42 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (116135417) and next prime (116135431).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 428409 + ... + 428679.

It is an arithmetic number, because the mean of its divisors is an integer number (2226048).

Almost surely, 2116135424 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 116135424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178083840).

116135424 is an abundant number, since it is smaller than the sum of its proper divisors (240032256).

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

116135424 is an equidigital number, since it uses as much as digits as its factorization.

116135424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 307 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 116135424 is about 10776.6146818006. The cubic root of 116135424 is about 487.8896104335.

It can be divided in two parts, 1161 and 35424, that added together give a triangular number (36585 = T270).

The spelling of 116135424 in words is "one hundred sixteen million, one hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 256 271 279 288 372 384 432 496 512 542 558 576 744 768 813 837 864 992 1084 1116 1152 1488 1536 1626 1674 1728 1984 2168 2232 2304 2439 2976 3252 3348 3456 3968 4336 4464 4608 4878 5952 6504 6696 6912 7317 7936 8401 8672 8928 9756 11904 13008 13392 13824 14634 15872 16802 17344 17856 19512 23808 25203 26016 26784 29268 33604 34688 35712 39024 47616 50406 52032 53568 58536 67208 69376 71424 75609 78048 100812 104064 107136 117072 134416 138752 142848 151218 156096 201624 208128 214272 226827 234144 268832 302436 312192 403248 416256 428544 453654 468288 537664 604872 624384 806496 907308 936576 1075328 1209744 1248768 1612992 1814616 1873152 2150656 2419488 3225984 3629232 3746304 4301312 4838976 6451968 7258464 9677952 12903936 14516928 19355904 29033856 38711808 58067712 116135424