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1013679360 = 283553259
BaseRepresentation
bin111100011010111…
…000010100000000
32121122102020200000
4330122320110000
54034000214420
6244330400000
734056063261
oct7432702400
92548366600
101013679360
11480217341
12243590000
13132019695
14988ac968
155ded4690
hex3c6b8500

1013679360 has 216 divisors, whose sum is σ = 3638238240. Its totient is φ = 270231552.

The previous prime is 1013679307. The next prime is 1013679379. The reversal of 1013679360 is 639763101.

It is a tau number, because it is divible by the number of its divisors (216).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309411 + ... + 312669.

Almost surely, 21013679360 is an apocalyptic number.

1013679360 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 1013679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819119120).

1013679360 is an abundant number, since it is smaller than the sum of its proper divisors (2624558880).

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

1013679360 is an frugal number, since it uses more digits than its factorization.

1013679360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295 (or 3269 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 1013679360 is about 31838.3316145806. The cubic root of 1013679360 is about 1004.5391515947.

The spelling of 1013679360 in words is "one billion, thirteen million, six hundred seventy-nine thousand, three hundred sixty".