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130936638 = 23719712311
BaseRepresentation
bin1111100110111…
…10111100111110
3100010101021022010
413303132330332
5232004433023
620554232050
73146641320
oct763367476
9303337263
10130936638
1167a016a8
1237a25626
1321185c01
1413565610
15b766093
hex7cdef3e

130936638 has 64 divisors (see below), whose sum is σ = 319610880. Its totient is φ = 34927200.

The previous prime is 130936621. The next prime is 130936639. The reversal of 130936638 is 836639031.

It is a junction number, because it is equal to n+sod(n) for n = 130936596 and 130936605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130936639) 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, 55503 + ... + 57813.

It is an arithmetic number, because the mean of its divisors is an integer number (4993920).

Almost surely, 2130936638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130936638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159805440).

130936638 is an abundant number, since it is smaller than the sum of its proper divisors (188674242).

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

130936638 is a wasteful number, since it uses less digits than its factorization.

130936638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2413.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 130936638 is about 11442.7548256528. The cubic root of 130936638 is about 507.7934116684.

The spelling of 130936638 in words is "one hundred thirty million, nine hundred thirty-six thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 114 133 142 213 266 399 426 497 798 994 1349 1491 2311 2698 2982 4047 4622 6933 8094 9443 13866 16177 18886 28329 32354 43909 48531 56658 87818 97062 131727 164081 263454 307363 328162 492243 614726 922089 984486 1148567 1844178 2297134 3117539 3445701 6235078 6891402 9352617 18705234 21822773 43645546 65468319 130936638