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1310253520 = 245107153067
BaseRepresentation
bin100111000011000…
…1110000111010000
310101022110202221011
41032012032013100
510140411103040
6334003140304
744316654052
oct11606160720
93338422834
101310253520
11612670954
12306974694
1317b5b8054
14c602d8d2
157a0683ea
hex4e18e1d0

1310253520 has 40 divisors (see below), whose sum is σ = 3074829984. Its totient is φ = 519199872.

The previous prime is 1310253517. The next prime is 1310253551. The reversal of 1310253520 is 253520131.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 1310253491 and 1310253500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67974 + ... + 85093.

Almost surely, 21310253520 is an apocalyptic number.

1310253520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310253520 is an abundant number, since it is smaller than the sum of its proper divisors (1764576464).

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

1310253520 is a wasteful number, since it uses less digits than its factorization.

1310253520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153187 (or 153181 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 1310253520 is about 36197.4242177534. The cubic root of 1310253520 is about 1094.2547614350.

Adding to 1310253520 its reverse (253520131), we get a palindrome (1563773651).

The spelling of 1310253520 in words is "one billion, three hundred ten million, two hundred fifty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 107 214 428 535 856 1070 1712 2140 4280 8560 153067 306134 612268 765335 1224536 1530670 2449072 3061340 6122680 12245360 16378169 32756338 65512676 81890845 131025352 163781690 262050704 327563380 655126760 1310253520