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423696960 = 26335192989
BaseRepresentation
bin11001010000010…
…001101001000000
31002112021000222000
4121100101221000
51331431300320
6110013144000
713333236051
oct3120215100
91075230860
10423696960
111a8190885
12b9a8b000
1369a1a67b
14403b2728
15272e4c90
hex19411a40

423696960 has 448 divisors, whose sum is σ = 1645920000. Its totient is φ = 102187008.

The previous prime is 423696937. The next prime is 423696971. The reversal of 423696960 is 69696324.

It is a super-2 number, since 2×4236969602 = 359038227826483200, which contains 22 as substring.

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

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, 4760596 + ... + 4760684.

Almost surely, 2423696960 is an apocalyptic number.

423696960 is a gapful number since it is divisible by the number (40) 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 423696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822960000).

423696960 is an abundant number, since it is smaller than the sum of its proper divisors (1222223040).

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

423696960 is a wasteful number, since it uses less digits than its factorization.

423696960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 423696960 is about 20583.9005050063. The cubic root of 423696960 is about 751.0781294399.

The spelling of 423696960 in words is "four hundred twenty-three million, six hundred ninety-six thousand, nine hundred sixty".