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1097689320 = 233557131773
BaseRepresentation
bin100000101101101…
…0110100011101000
32211111111101200000
41001123112203220
54222002024240
6300531143000
736126130260
oct10133264350
92744441600
101097689320
11513687262
12267744a60
13146552010
14a5ada7a0
156657b430
hex416d68e8

1097689320 has 768 divisors, whose sum is σ = 4887267840. Its totient is φ = 214990848.

The previous prime is 1097689301. The next prime is 1097689339. The reversal of 1097689320 is 239867901.

It is an interprime number because it is at equal distance from previous prime (1097689301) and next prime (1097689339).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15036804 + ... + 15036876.

It is an arithmetic number, because the mean of its divisors is an integer number (6363630).

Almost surely, 21097689320 is an apocalyptic number.

1097689320 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 1097689320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443633920).

1097689320 is an abundant number, since it is smaller than the sum of its proper divisors (3789578520).

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

1097689320 is a wasteful number, since it uses less digits than its factorization.

1097689320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 1097689320 is about 33131.3947789706. The cubic root of 1097689320 is about 1031.5567999567.

The spelling of 1097689320 in words is "one billion, ninety-seven million, six hundred eighty-nine thousand, three hundred twenty".