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1093690080 = 25335759613
BaseRepresentation
bin100000100110000…
…0110001011100000
32211012222012202000
41001030012023200
54214441040310
6300305324000
736050132550
oct10114061340
92735865660
101093690080
115113a55aa
12266336600
131457818c2
14a5379160
156603b4c0
hex413062e0

1093690080 has 384 divisors, whose sum is σ = 4456166400. Its totient is φ = 245348352.

The previous prime is 1093690063. The next prime is 1093690097. The reversal of 1093690080 is 800963901.

It is an interprime number because it is at equal distance from previous prime (1093690063) and next prime (1093690097).

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 63 ways as a sum of consecutive naturals, for example, 1783854 + ... + 1784466.

It is an arithmetic number, because the mean of its divisors is an integer number (11604600).

Almost surely, 21093690080 is an apocalyptic number.

1093690080 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 1093690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2228083200).

1093690080 is an abundant number, since it is smaller than the sum of its proper divisors (3362476320).

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

1093690080 is a wasteful number, since it uses less digits than its factorization.

1093690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 1093690080 is about 33070.9854706509. The cubic root of 1093690080 is about 1030.3025095674.

The spelling of 1093690080 in words is "one billion, ninety-three million, six hundred ninety thousand, eighty".