Search a number
-
+
1312738080 = 25358293299
BaseRepresentation
bin100111000111110…
…1100101100100000
310101111011000002220
41032033230230200
510142030104310
6334132311040
744350042503
oct11617545440
93344130086
101312738080
11614008605
12307772480
1317bc77bc4
14c64b913a
157a3a9670
hex4e3ecb20

1312738080 has 96 divisors (see below), whose sum is σ = 4141368000. Its totient is φ = 349535232.

The previous prime is 1312738051. The next prime is 1312738093. The reversal of 1312738080 is 808372131.

It is a tau number, because it is divible by the number of its divisors (96).

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, 396271 + ... + 399569.

It is an arithmetic number, because the mean of its divisors is an integer number (43139250).

Almost surely, 21312738080 is an apocalyptic number.

1312738080 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 1312738080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2070684000).

1312738080 is an abundant number, since it is smaller than the sum of its proper divisors (2828629920).

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

1312738080 is a wasteful number, since it uses less digits than its factorization.

1312738080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4146 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1312738080 is about 36231.7275326474. The cubic root of 1312738080 is about 1094.9459826150.

The spelling of 1312738080 in words is "one billion, three hundred twelve million, seven hundred thirty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 829 1658 2487 3299 3316 4145 4974 6598 6632 8290 9897 9948 12435 13196 13264 16495 16580 19794 19896 24870 26392 26528 32990 33160 39588 39792 49485 49740 52784 65980 66320 79176 79584 98970 99480 105568 131960 132640 158352 197940 198960 263920 316704 395880 397920 527840 791760 1583520 2734871 5469742 8204613 10939484 13674355 16409226 21878968 27348710 32818452 41023065 43757936 54697420 65636904 82046130 87515872 109394840 131273808 164092260 218789680 262547616 328184520 437579360 656369040 1312738080