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1013059320 = 2335721329457
BaseRepresentation
bin111100011000100…
…000111011111000
32121121020202010120
4330120200323320
54033320344240
6244305213240
734050601500
oct7430407370
92547222116
101013059320
1147a933509
12243331220
13131b603b0
149878aa00
155de10ad0
hex3c620ef8

1013059320 has 384 divisors, whose sum is σ = 3947227200. Its totient is φ = 205922304.

The previous prime is 1013059277. The next prime is 1013059337. The reversal of 1013059320 is 239503101.

It is a happy number.

1013059320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2216532 + ... + 2216988.

Almost surely, 21013059320 is an apocalyptic number.

1013059320 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 1013059320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1973613600).

1013059320 is an abundant number, since it is smaller than the sum of its proper divisors (2934167880).

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

1013059320 is a wasteful number, since it uses less digits than its factorization.

1013059320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 1013059320 is about 31828.5928058405. The cubic root of 1013059320 is about 1004.3342934257.

The spelling of 1013059320 in words is "one billion, thirteen million, fifty-nine thousand, three hundred twenty".