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1313252720 = 245131774279
BaseRepresentation
bin100111001000110…
…1010010101110000
310101112010011001122
41032101222111300
510142143041340
6334151321412
744354315063
oct11621522560
93345104048
101313252720
1161432a22a
12307980268
1317c0c8220
14c65b08da
157a45bdb5
hex4e46a570

1313252720 has 80 divisors (see below), whose sum is σ = 3481652160. Its totient is φ = 456364032.

The previous prime is 1313252693. The next prime is 1313252741. The reversal of 1313252720 is 272523131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 1313252720.

It is a congruent number.

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, 19460 + ... + 54819.

It is an arithmetic number, because the mean of its divisors is an integer number (43520652).

Almost surely, 21313252720 is an apocalyptic number.

1313252720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313252720 is an abundant number, since it is smaller than the sum of its proper divisors (2168399440).

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

1313252720 is a wasteful number, since it uses less digits than its factorization.

1313252720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74322 (or 74316 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 26.

The square root of 1313252720 is about 36238.8288994002. The cubic root of 1313252720 is about 1095.0890498390.

Adding to 1313252720 its reverse (272523131), we get a palindrome (1585775851).

The spelling of 1313252720 in words is "one billion, three hundred thirteen million, two hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 74279 148558 297116 371395 594232 742790 965627 1188464 1262743 1485580 1931254 2525486 2971160 3862508 4828135 5050972 5942320 6313715 7725016 9656270 10101944 12627430 15450032 16415659 19312540 20203888 25254860 32831318 38625080 50509720 65662636 77250160 82078295 101019440 131325272 164156590 262650544 328313180 656626360 1313252720