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1313930280 = 2335134120543
BaseRepresentation
bin100111001010000…
…1111110000101000
310101120101120111110
41032110033300220
510142331232110
6334214030320
744363136345
oct11624176050
93346346443
101313930280
116147522a3
123080483a0
1317c2a4750
14c67097cc
157a542a20
hex4e50fc28

1313930280 has 128 divisors (see below), whose sum is σ = 4348753920. Its totient is φ = 315525120.

The previous prime is 1313930263. The next prime is 1313930287. The reversal of 1313930280 is 820393131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (1313930287) 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, 53689 + ... + 74231.

It is an arithmetic number, because the mean of its divisors is an integer number (33974640).

Almost surely, 21313930280 is an apocalyptic number.

1313930280 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 1313930280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174376960).

1313930280 is an abundant number, since it is smaller than the sum of its proper divisors (3034823640).

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

1313930280 is a wasteful number, since it uses less digits than its factorization.

1313930280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20611 (or 20607 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 1313930280 is about 36248.1762299843. The cubic root of 1313930280 is about 1095.2773509823.

The spelling of 1313930280 in words is "one billion, three hundred thirteen million, nine hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 260 312 328 390 410 492 520 533 615 780 820 984 1066 1230 1560 1599 1640 2132 2460 2665 3198 4264 4920 5330 6396 7995 10660 12792 15990 20543 21320 31980 41086 61629 63960 82172 102715 123258 164344 205430 246516 267059 308145 410860 493032 534118 616290 801177 821720 842263 1068236 1232580 1335295 1602354 1684526 2136472 2465160 2526789 2670590 3204708 3369052 4005885 4211315 5053578 5341180 6409416 6738104 8011770 8422630 10107156 10682360 10949419 12633945 16023540 16845260 20214312 21898838 25267890 32047080 32848257 33690520 43797676 50535780 54747095 65696514 87595352 101071560 109494190 131393028 164241285 218988380 262786056 328482570 437976760 656965140 1313930280