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1312903680 = 29351115541
BaseRepresentation
bin100111001000001…
…0101001000000000
310101111110102021020
41032100111020000
510142100404210
6334140025440
744351332344
oct11620251000
93344412236
101312903680
11614110a70
12307832280
1317c0053aa
14c651d624
157a3dd770
hex4e415200

1312903680 has 160 divisors (see below), whose sum is σ = 4579046208. Its totient is φ = 318259200.

The previous prime is 1312903663. The next prime is 1312903729. The reversal of 1312903680 is 863092131.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76710 + ... + 92250.

Almost surely, 21312903680 is an apocalyptic number.

1312903680 is a gapful number since it is divisible by the number (10) 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 1312903680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2289523104).

1312903680 is an abundant number, since it is smaller than the sum of its proper divisors (3266142528).

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

1312903680 is a wasteful number, since it uses less digits than its factorization.

1312903680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15578 (or 15562 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1312903680 is about 36234.0127504531. The cubic root of 1312903680 is about 1094.9920226270.

The spelling of 1312903680 in words is "one billion, three hundred twelve million, nine hundred three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1760 1920 2112 2560 2640 2816 3520 3840 4224 5280 5632 7040 7680 8448 10560 14080 15541 16896 21120 28160 31082 42240 46623 62164 77705 84480 93246 124328 155410 170951 186492 233115 248656 310820 341902 372984 466230 497312 512853 621640 683804 745968 854755 932460 994624 1025706 1243280 1367608 1491936 1709510 1864920 1989248 2051412 2486560 2564265 2735216 2983872 3419020 3729840 3978496 4102824 4973120 5128530 5470432 5967744 6838040 7459680 7956992 8205648 9946240 10257060 10940864 11935488 13676080 14919360 16411296 19892480 20514120 21881728 23870976 27352160 29838720 32822592 39784960 41028240 43763456 54704320 59677440 65645184 82056480 87526912 109408640 119354880 131290368 164112960 218817280 262580736 328225920 437634560 656451840 1312903680