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130261236 = 223723191353
BaseRepresentation
bin1111100001110…
…10000011110100
3100002002221211020
413300322003310
5231321324421
620531541140
73141126240
oct760720364
9302087736
10130261236
1167590216
123775a7b0
1320caa671
141342b420
15b680dc6
hex7c3a0f4

130261236 has 96 divisors (see below), whose sum is σ = 365395968. Its totient is φ = 35312640.

The previous prime is 130261231. The next prime is 130261237. The reversal of 130261236 is 632162031.

It is a happy number.

It is a super-3 number, since 3×1302612363 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130261231) 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, 368836 + ... + 369188.

It is an arithmetic number, because the mean of its divisors is an integer number (3806208).

Almost surely, 2130261236 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 130261236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182697984).

130261236 is an abundant number, since it is smaller than the sum of its proper divisors (235134732).

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

130261236 is a wasteful number, since it uses less digits than its factorization.

130261236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130261236 is about 11413.2044579951. The cubic root of 130261236 is about 506.9188001405.

The spelling of 130261236 in words is "one hundred thirty million, two hundred sixty-one thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 191 276 322 353 382 483 573 644 706 764 966 1059 1146 1337 1412 1932 2118 2292 2471 2674 4011 4236 4393 4942 5348 7413 8022 8119 8786 9884 13179 14826 16044 16238 17572 24357 26358 29652 30751 32476 48714 52716 56833 61502 67423 92253 97428 113666 123004 134846 170499 184506 202269 227332 269692 340998 369012 404538 471961 681996 809076 943922 1415883 1550729 1887844 2831766 3101458 4652187 5663532 6202916 9304374 10855103 18608748 21710206 32565309 43420412 65130618 130261236