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1310242320 = 243251819781
BaseRepresentation
bin100111000011000…
…1011011000010000
310101022110012120100
41032012023120100
510140410223240
6334003012400
744316606312
oct11606133020
93338405510
101310242320
116126634a2
1230696a100
1317b5b2c1a
14c60297b2
157a064e30
hex4e18b610

1310242320 has 60 divisors (see below), whose sum is σ = 4400232876. Its totient is φ = 349397760.

The previous prime is 1310242319. The next prime is 1310242327. The reversal of 1310242320 is 232420131.

It can be written as a sum of positive squares in 2 ways, for example, as 532501776 + 777740544 = 23076^2 + 27888^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1310242293 and 1310242302.

It is not an unprimeable number, because it can be changed into a prime (1310242327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 909171 + ... + 910610.

Almost surely, 21310242320 is an apocalyptic number.

1310242320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1310242320 is an abundant number, since it is smaller than the sum of its proper divisors (3089990556).

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

1310242320 is a wasteful number, since it uses less digits than its factorization.

1310242320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819800 (or 1819791 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1310242320 is about 36197.2695102821. The cubic root of 1310242320 is about 1094.2516435427.

Adding to 1310242320 its reverse (232420131), we get a palindrome (1542662451).

The spelling of 1310242320 in words is "one billion, three hundred ten million, two hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1819781 3639562 5459343 7279124 9098905 10918686 14558248 16378029 18197810 21837372 27296715 29116496 32756058 36395620 43674744 54593430 65512116 72791240 81890145 87349488 109186860 131024232 145582480 163780290 218373720 262048464 327560580 436747440 655121160 1310242320