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130788174 = 231121710597
BaseRepresentation
bin1111100101110…
…10101101001110
3100010002201122110
413302322231032
5231440210144
620551124450
73145452426
oct762725516
9303081573
10130788174
1167910100
1237973726
132113346a
1413527486
15b7370b9
hex7cbab4e

130788174 has 48 divisors (see below), whose sum is σ = 304459344. Its totient is φ = 37297920.

The previous prime is 130788149. The next prime is 130788181. The reversal of 130788174 is 471887031.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7044 + ... + 17640.

It is an arithmetic number, because the mean of its divisors is an integer number (6342903).

Almost surely, 2130788174 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130788174, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152229672).

130788174 is an abundant number, since it is smaller than the sum of its proper divisors (173671170).

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

130788174 is a wasteful number, since it uses less digits than its factorization.

130788174 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10641 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 39.

The square root of 130788174 is about 11436.2657366817. The cubic root of 130788174 is about 507.6014166349.

The spelling of 130788174 in words is "one hundred thirty million, seven hundred eighty-eight thousand, one hundred seventy-four".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 121 187 242 363 374 561 726 1122 2057 4114 6171 10597 12342 21194 31791 63582 116567 180149 233134 349701 360298 540447 699402 1080894 1282237 1981639 2564474 3846711 3963278 5944917 7693422 11889834 21798029 43596058 65394087 130788174