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1314860120 = 235723718131
BaseRepresentation
bin100111001011111…
…0010110001011000
310101122010210222222
41032113302301120
510143101010440
6334250003212
744404061300
oct11627626130
93348123888
101314860120
11615227962
12308416508
1317c53ba52
14c68ac600
157a6782b5
hex4e5f2c58

1314860120 has 96 divisors (see below), whose sum is σ = 3534652080. Its totient is φ = 438600960.

The previous prime is 1314860111. The next prime is 1314860161. The reversal of 1314860120 is 210684131.

It is a Cunningham number, because it is equal to 362612-1.

It is a self number, because there is not a number n which added to its sum of digits gives 1314860120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63455 + ... + 81585.

Almost surely, 21314860120 is an apocalyptic number.

1314860120 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 1314860120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1767326040).

1314860120 is an abundant number, since it is smaller than the sum of its proper divisors (2219791960).

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

1314860120 is a wasteful number, since it uses less digits than its factorization.

1314860120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18193 (or 18182 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 1314860120 is about 36260.9999862111. Note that the first 4 decimals coincide. The cubic root of 1314860120 is about 1095.5356580785.

The spelling of 1314860120 in words is "one billion, three hundred fourteen million, eight hundred sixty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 74 98 140 148 185 196 245 259 280 296 370 392 490 518 740 980 1036 1295 1480 1813 1960 2072 2590 3626 5180 7252 9065 10360 14504 18130 18131 36260 36262 72520 72524 90655 126917 145048 181310 253834 362620 507668 634585 670847 725240 888419 1015336 1269170 1341694 1776838 2538340 2683388 3354235 3553676 4442095 4695929 5076680 5366776 6708470 7107352 8884190 9391858 13416940 17768380 18783716 23479645 26833880 32871503 35536760 37567432 46959290 65743006 93918580 131486012 164357515 187837160 262972024 328715030 657430060 1314860120