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1316753680 = 245112367971
BaseRepresentation
bin100111001111100…
…0001000100010000
310101202201000110211
41032133001010100
510144042104210
6334354333504
744426136004
oct11637010420
93352630424
101316753680
11616300590
12308b8a294
1317ca528b8
14c6c42704
157a8ee38a
hex4e7c1110

1316753680 has 160 divisors (see below), whose sum is σ = 3540630528. Its totient is φ = 450700800.

The previous prime is 1316753639. The next prime is 1316753687. The reversal of 1316753680 is 863576131.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1316753687) 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, 1355595 + ... + 1356565.

Almost surely, 21316753680 is an apocalyptic number.

1316753680 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 1316753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770315264).

1316753680 is an abundant number, since it is smaller than the sum of its proper divisors (2223876848).

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

1316753680 is a wasteful number, since it uses less digits than its factorization.

1316753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1316753680 is about 36287.1007384167. The cubic root of 1316753680 is about 1096.0613077752.

The spelling of 1316753680 in words is "one billion, three hundred sixteen million, seven hundred fifty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 40 44 46 55 67 80 88 92 110 115 134 176 184 220 230 253 268 335 368 440 460 506 536 670 737 880 920 971 1012 1072 1265 1340 1474 1541 1840 1942 2024 2530 2680 2948 3082 3685 3884 4048 4855 5060 5360 5896 6164 7370 7705 7768 9710 10120 10681 11792 12328 14740 15410 15536 16951 19420 20240 21362 22333 24656 29480 30820 33902 38840 42724 44666 53405 58960 61640 65057 67804 77680 84755 85448 89332 106810 111665 123280 130114 135608 169510 170896 178664 213620 223330 245663 260228 271216 325285 339020 357328 427240 446660 491326 520456 650570 678040 715627 854480 893320 982652 1040912 1228315 1301140 1356080 1431254 1496311 1786640 1965304 2456630 2602280 2862508 2992622 3578135 3930608 4913260 5204560 5725016 5985244 7156270 7481555 9826520 11450032 11970488 14312540 14963110 16459421 19653040 23940976 28625080 29926220 32918842 57250160 59852440 65837684 82297105 119704880 131675368 164594210 263350736 329188420 658376840 1316753680