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1315663140 = 22351115712697
BaseRepresentation
bin100111001101011…
…0110110100100100
310101200122121112110
41032122312310210
510143302210030
6334315121020
744413644411
oct11632666444
93350577473
101315663140
11615726210
12308743170
1317c7603cc
14c6a3b108
157a7861b0
hex4e6b6d24

1315663140 has 96 divisors (see below), whose sum is σ = 4044668544. Its totient is φ = 316892160.

The previous prime is 1315663109. The next prime is 1315663147. The reversal of 1315663140 is 413665131.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1315663098 and 1315663107.

It is not an unprimeable number, because it can be changed into a prime (1315663147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97272 + ... + 109968.

It is an arithmetic number, because the mean of its divisors is an integer number (42131964).

Almost surely, 21315663140 is an apocalyptic number.

1315663140 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 1315663140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2022334272).

1315663140 is an abundant number, since it is smaller than the sum of its proper divisors (2729005404).

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

1315663140 is a wasteful number, since it uses less digits than its factorization.

1315663140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12877 (or 12875 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 1315663140 is about 36272.0710740371. The cubic root of 1315663140 is about 1095.7586369334.

The spelling of 1315663140 in words is "one billion, three hundred fifteen million, six hundred sixty-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 157 165 220 314 330 471 628 660 785 942 1570 1727 1884 2355 3140 3454 4710 5181 6908 8635 9420 10362 12697 17270 20724 25394 25905 34540 38091 50788 51810 63485 76182 103620 126970 139667 152364 190455 253940 279334 380910 419001 558668 698335 761820 838002 1396670 1676004 1993429 2095005 2793340 3986858 4190010 5980287 7973716 8380020 9967145 11960574 19934290 21927719 23921148 29901435 39868580 43855438 59802870 65783157 87710876 109638595 119605740 131566314 219277190 263132628 328915785 438554380 657831570 1315663140