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1300653132 = 2231929229859
BaseRepresentation
bin100110110000110…
…0110010001001100
310100122102000200020
41031201212101030
510130431400012
6333021302140
744142240432
oct11541462114
93318360606
101300653132
11608203a49
12303704950
1317960634c
14c4a50d52
15792bda8c
hex4d86644c

1300653132 has 96 divisors (see below), whose sum is σ = 3323040000. Its totient is φ = 394377984.

The previous prime is 1300653097. The next prime is 1300653157. The reversal of 1300653132 is 2313560031.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1513719 + ... + 1514577.

It is an arithmetic number, because the mean of its divisors is an integer number (34615000).

Almost surely, 21300653132 is an apocalyptic number.

1300653132 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 1300653132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661520000).

1300653132 is an abundant number, since it is smaller than the sum of its proper divisors (2022386868).

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

1300653132 is a wasteful number, since it uses less digits than its factorization.

1300653132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

The square root of 1300653132 is about 36064.5689285204. The cubic root of 1300653132 is about 1091.5756277466.

The spelling of 1300653132 in words is "one billion, three hundred million, six hundred fifty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 229 348 458 551 687 859 916 1102 1374 1653 1718 2204 2577 2748 3306 3436 4351 5154 6612 6641 8702 10308 13053 13282 16321 17404 19923 24911 26106 26564 32642 39846 48963 49822 52212 65284 74733 79692 97926 99644 126179 149466 195852 196711 252358 298932 378537 393422 473309 504716 590133 757074 786844 946618 1180266 1419927 1514148 1893236 2360532 2839854 3737509 5679708 5704619 7475018 11212527 11409238 14950036 17113857 22425054 22818476 34227714 44850108 68455428 108387761 216775522 325163283 433551044 650326566 1300653132