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1214321680 = 2451113179593
BaseRepresentation
bin100100001100001…
…0001010000010000
310010121221221012001
41020120101100100
54441331243210
6320255043344
742043364305
oct11030212020
93117857161
101214321680
115734a8940
1229a810554
1316476a150
14b73bb0ac
157191903a
hex48611410

1214321680 has 160 divisors (see below), whose sum is σ = 3341036160. Its totient is φ = 404643840.

The previous prime is 1214321671. The next prime is 1214321699. The reversal of 1214321680 is 861234121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047464 + ... + 2048056.

It is an arithmetic number, because the mean of its divisors is an integer number (20881476).

Almost surely, 21214321680 is an apocalyptic number.

1214321680 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 1214321680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670518080).

1214321680 is an abundant number, since it is smaller than the sum of its proper divisors (2126714480).

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

1214321680 is a wasteful number, since it uses less digits than its factorization.

1214321680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 1214321680 is about 34847.1186757241. The cubic root of 1214321680 is about 1066.8693772728.

The spelling of 1214321680 in words is "one billion, two hundred fourteen million, three hundred twenty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 179 208 220 260 286 358 440 520 572 593 715 716 880 895 1040 1144 1186 1430 1432 1790 1969 2288 2327 2372 2860 2864 2965 3580 3938 4654 4744 5720 5930 6523 7160 7709 7876 9308 9488 9845 11440 11635 11860 13046 14320 15418 15752 18616 19690 23270 23720 25597 26092 30836 31504 32615 37232 38545 39380 46540 47440 51194 52184 61672 65230 77090 78760 84799 93080 102388 104368 106147 123344 127985 130460 154180 157520 169598 186160 204776 212294 255970 260920 308360 339196 409552 423995 424588 511940 521840 530735 616720 678392 847990 849176 1023880 1061470 1167617 1356784 1379911 1695980 1698352 2047760 2122940 2335234 2759822 3391960 4245880 4670468 5519644 5838085 6783920 6899555 8491760 9340936 11039288 11676170 13799110 15179021 18681872 22078576 23352340 27598220 30358042 46704680 55196440 60716084 75895105 93409360 110392880 121432168 151790210 242864336 303580420 607160840 1214321680