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1317529920 = 263571719607
BaseRepresentation
bin100111010000111…
…1110100101000000
310101211011110021110
41032201332211000
510144241424140
6334423123320
744435551050
oct11641764500
93354143243
101317529920
11616790803
123092a3540
1317cc65005
14c6da5560
157aa04380
hex4e87e940

1317529920 has 448 divisors, whose sum is σ = 5337169920. Its totient is φ = 268075008.

The previous prime is 1317529919. The next prime is 1317529921. The reversal of 1317529920 is 299257131.

It is an interprime number because it is at equal distance from previous prime (1317529919) and next prime (1317529921).

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1317529921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2170257 + ... + 2170863.

Almost surely, 21317529920 is an apocalyptic number.

1317529920 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 1317529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2668584960).

1317529920 is an abundant number, since it is smaller than the sum of its proper divisors (4019640000).

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

1317529920 is a wasteful number, since it uses less digits than its factorization.

1317529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 39.

The square root of 1317529920 is about 36297.7949743507. The cubic root of 1317529920 is about 1096.2766453160.

The spelling of 1317529920 in words is "one billion, three hundred seventeen million, five hundred twenty-nine thousand, nine hundred twenty".