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130501368 = 2334375443
BaseRepresentation
bin1111100011101…
…00101011111000
3100002120011020000
413301310223320
5231402020433
620541033000
73143146314
oct761645370
9302504200
10130501368
1167734678
1237855760
1321062a5a
1413490b44
15b6cc113
hex7c74af8

130501368 has 80 divisors (see below), whose sum is σ = 375472680. Its totient is φ = 42316992.

The previous prime is 130501361. The next prime is 130501369. The reversal of 130501368 is 863105031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130501361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21255 + ... + 26697.

Almost surely, 2130501368 is an apocalyptic number.

130501368 is a gapful number since it is divisible by the number (18) 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 130501368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187736340).

130501368 is an abundant number, since it is smaller than the sum of its proper divisors (244971312).

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

130501368 is a wasteful number, since it uses less digits than its factorization.

130501368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5498 (or 5485 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 130501368 is about 11423.7195343723. The cubic root of 130501368 is about 507.2301045763.

130501368 divided by its sum of digits (27) gives a palindrome (4833384).

Adding to 130501368 its reverse (863105031), we get a palindrome (993606399).

The spelling of 130501368 in words is "one hundred thirty million, five hundred one thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 81 108 111 148 162 216 222 296 324 333 444 648 666 888 999 1332 1998 2664 2997 3996 5443 5994 7992 10886 11988 16329 21772 23976 32658 43544 48987 65316 97974 130632 146961 195948 201391 293922 391896 402782 440883 587844 604173 805564 881766 1175688 1208346 1611128 1763532 1812519 2416692 3527064 3625038 4833384 5437557 7250076 10875114 14500152 16312671 21750228 32625342 43500456 65250684 130501368