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130614408 = 233231139421
BaseRepresentation
bin1111100100100…
…00010010001000
3100002202220021200
413302100102020
5231414130113
620543304200
73144130011
oct762202210
9302686250
10130614408
11678015a1
12378ab060
13210a2342
14134c0008
15b700873
hex7c90488

130614408 has 96 divisors (see below), whose sum is σ = 368659200. Its totient is φ = 41731200.

The previous prime is 130614389. The next prime is 130614427. The reversal of 130614408 is 804416031.

130614408 is a `hidden beast` number, since 1 + 3 + 0 + 614 + 40 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (130614389) and next prime (130614427).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 310038 + ... + 310458.

It is an arithmetic number, because the mean of its divisors is an integer number (3840200).

Almost surely, 2130614408 is an apocalyptic number.

130614408 is a gapful number since it is divisible by the number (18) 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 130614408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184329600).

130614408 is an abundant number, since it is smaller than the sum of its proper divisors (238044792).

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

130614408 is a wasteful number, since it uses less digits than its factorization.

130614408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603 (or 596 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 130614408 is about 11428.6660638939. Note that the first 3 decimals coincide. The cubic root of 130614408 is about 507.3765161803.

The spelling of 130614408 in words is "one hundred thirty million, six hundred fourteen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 139 186 248 278 279 372 417 421 556 558 744 834 842 1112 1116 1251 1263 1668 1684 2232 2502 2526 3336 3368 3789 4309 5004 5052 7578 8618 10008 10104 12927 13051 15156 17236 25854 26102 30312 34472 38781 39153 51708 52204 58519 77562 78306 103416 104408 117038 117459 155124 156612 175557 234076 234918 310248 313224 351114 468152 469836 526671 702228 939672 1053342 1404456 1814089 2106684 3628178 4213368 5442267 7256356 10884534 14512712 16326801 21769068 32653602 43538136 65307204 130614408