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1315505040 = 24357177201
BaseRepresentation
bin100111001101001…
…0000001110010000
310101200100120122220
41032122100032100
510143232130130
6334311501040
744412415443
oct11632201620
93350316586
101315505040
11615628453
12308687780
1317c706465
14c69d965a
157a754410
hex4e690390

1315505040 has 80 divisors (see below), whose sum is σ = 4135556736. Its totient is φ = 345856000.

The previous prime is 1315505039. The next prime is 1315505053. The reversal of 1315505040 is 405055131.

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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1315505040.

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, 21561 + ... + 55640.

Almost surely, 21315505040 is an apocalyptic number.

1315505040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1315505040 is an abundant number, since it is smaller than the sum of its proper divisors (2820051696).

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

1315505040 is a wasteful number, since it uses less digits than its factorization.

1315505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77288 (or 77282 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1315505040 is about 36269.8916458266. The cubic root of 1315505040 is about 1095.7147436361.

The spelling of 1315505040 in words is "one billion, three hundred fifteen million, five hundred five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 77201 154402 231603 308804 386005 463206 617608 772010 926412 1158015 1235216 1544020 1852824 2316030 3088040 3705648 4632060 5481271 6176080 9264120 10962542 16443813 18528240 21925084 27406355 32887626 43850168 54812710 65775252 82219065 87700336 109625420 131550504 164438130 219250840 263101008 328876260 438501680 657752520 1315505040