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130516704 = 2533295209
BaseRepresentation
bin1111100011110…
…00011011100000
3100002120221021000
413301320123200
5231403013304
620541232000
73143242113
oct761703340
9302527230
10130516704
116774514a
1237862600
1321069a26
141349657a
15b6d1939
hex7c786e0

130516704 has 96 divisors (see below), whose sum is σ = 393876000. Its totient is φ = 41997312.

The previous prime is 130516703. The next prime is 130516717. The reversal of 130516704 is 407615031.

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

It is a super-2 number, since 2×1305167042 = 34069220046047232, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130516703) 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, 22452 + ... + 27660.

It is an arithmetic number, because the mean of its divisors is an integer number (4102875).

Almost surely, 2130516704 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 130516704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196938000).

130516704 is an abundant number, since it is smaller than the sum of its proper divisors (263359296).

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

130516704 is a wasteful number, since it uses less digits than its factorization.

130516704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5243 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 130516704 is about 11424.3907496199. The cubic root of 130516704 is about 507.2499730173.

The spelling of 130516704 in words is "one hundred thirty million, five hundred sixteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 87 96 108 116 144 174 216 232 261 288 348 432 464 522 696 783 864 928 1044 1392 1566 2088 2784 3132 4176 5209 6264 8352 10418 12528 15627 20836 25056 31254 41672 46881 62508 83344 93762 125016 140643 151061 166688 187524 250032 281286 302122 375048 453183 500064 562572 604244 750096 906366 1125144 1208488 1359549 1500192 1812732 2250288 2416976 2719098 3625464 4078647 4500576 4833952 5438196 7250928 8157294 10876392 14501856 16314588 21752784 32629176 43505568 65258352 130516704