Search a number
-
+
130052142 = 238111753
BaseRepresentation
bin1111100000001…
…11000000101110
3100001201100000000
413300013000232
5231243132032
620523245130
73136265523
oct760070056
9301640000
10130052142
1167458110
12376797a6
1320c3643c
14133b514a
15b63de7c
hex7c0702e

130052142 has 144 divisors (see below), whose sum is σ = 344356272. Its totient is φ = 36391680.

The previous prime is 130052141. The next prime is 130052173. The reversal of 130052142 is 241250031.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130052141) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2453788 + ... + 2453840.

It is an arithmetic number, because the mean of its divisors is an integer number (2391363).

Almost surely, 2130052142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130052142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172178136).

130052142 is an abundant number, since it is smaller than the sum of its proper divisors (214304130).

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

130052142 is an equidigital number, since it uses as much as digits as its factorization.

130052142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130052142 is about 11404.0405997173. The cubic root of 130052142 is about 506.6474212642.

The spelling of 130052142 in words is "one hundred thirty million, fifty-two thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 27 33 34 51 53 54 66 81 99 102 106 153 159 162 187 198 243 297 306 318 374 459 477 486 561 583 594 729 891 901 918 954 1122 1166 1377 1431 1458 1683 1749 1782 1802 2187 2673 2703 2754 2862 3366 3498 4131 4293 4374 5049 5247 5346 5406 6561 8019 8109 8262 8586 9911 10098 10494 12393 12879 13122 15147 15741 16038 16218 19822 24057 24327 24786 25758 29733 30294 31482 37179 38637 45441 47223 48114 48654 59466 72171 72981 74358 77274 89199 90882 94446 111537 115911 136323 141669 144342 145962 178398 218943 223074 231822 267597 272646 283338 347733 408969 425007 437886 535194 656829 695466 802791 817938 850014 1226907 1275021 1313658 1605582 1970487 2408373 2453814 2550042 3825063 3940974 4816746 5911461 7225119 7650126 11822922 14450238 21675357 43350714 65026071 130052142