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693996480 = 263252310477
BaseRepresentation
bin101001010111011…
…000101111000000
31210100212200012100
4221113120233000
52410130341410
6152510430400
723124605232
oct5127305700
91710780170
10693996480
11326819911
12174502400
13b0a19908
1468254252
1540dd88c0
hex295d8bc0

693996480 has 168 divisors, whose sum is σ = 2491081632. Its totient is φ = 177002496.

The previous prime is 693996467. The next prime is 693996509. The reversal of 693996480 is 84699396.

It is a happy number.

It is a super-2 number, since 2×6939964802 = 963262228504780800, which contains 22 as substring.

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, 61002 + ... + 71478.

Almost surely, 2693996480 is an apocalyptic number.

693996480 is a gapful number since it is divisible by the number (60) 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 693996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245540816).

693996480 is an abundant number, since it is smaller than the sum of its proper divisors (1797085152).

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

693996480 is a wasteful number, since it uses less digits than its factorization.

693996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10523 (or 10510 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The square root of 693996480 is about 26343.8129358679. The cubic root of 693996480 is about 885.3583533920.

The spelling of 693996480 in words is "six hundred ninety-three million, nine hundred ninety-six thousand, four hundred eighty".