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130262412 = 223741109347
BaseRepresentation
bin1111100001110…
…10010110001100
3100002010000102210
413300322112030
5231321344122
620531550420
73141132540
oct760722614
9302100383
10130262412
1167591095
123775b410
1320cab067
141342ba20
15b68140c
hex7c3a58c

130262412 has 96 divisors (see below), whose sum is σ = 360138240. Its totient is φ = 35873280.

The previous prime is 130262411. The next prime is 130262471. The reversal of 130262412 is 214262031.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (130262411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375223 + ... + 375569.

It is an arithmetic number, because the mean of its divisors is an integer number (3751440).

Almost surely, 2130262412 is an apocalyptic number.

130262412 is a gapful number since it is divisible by the number (12) 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 130262412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180069120).

130262412 is an abundant number, since it is smaller than the sum of its proper divisors (229875828).

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

130262412 is a wasteful number, since it uses less digits than its factorization.

130262412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 130262412 is about 11413.2559771522. The cubic root of 130262412 is about 506.9203256256.

The spelling of 130262412 in words is "one hundred thirty million, two hundred sixty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 109 123 164 218 246 287 327 347 436 492 574 654 694 763 861 1041 1148 1308 1388 1526 1722 2082 2289 2429 3052 3444 4164 4469 4578 4858 7287 8938 9156 9716 13407 14227 14574 17876 26814 28454 29148 31283 37823 42681 53628 56908 62566 75646 85362 93849 99589 113469 125132 151292 170724 187698 199178 226938 264761 298767 375396 398356 453876 529522 597534 794283 1059044 1195068 1550743 1588566 3101486 3177132 4652229 6202972 9304458 10855201 18608916 21710402 32565603 43420804 65131206 130262412