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426166960 = 24519280373
BaseRepresentation
bin11001011001101…
…100101010110000
31002200220112011111
4121121230222300
51333044320320
6110142123104
713363234162
oct3131545260
91080815144
10426166960
111a96185aa
12ba880494
136a3a39cb
1440856932
1527631a5a
hex1966cab0

426166960 has 40 divisors (see below), whose sum is σ = 1042991280. Its totient is φ = 161494272.

The previous prime is 426166901. The next prime is 426166981. The reversal of 426166960 is 69661624.

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 138667 + ... + 141706.

It is an arithmetic number, because the mean of its divisors is an integer number (26074782).

Almost surely, 2426166960 is an apocalyptic number.

426166960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

426166960 is an abundant number, since it is smaller than the sum of its proper divisors (616824320).

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

426166960 is a wasteful number, since it uses less digits than its factorization.

426166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280405 (or 280399 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 426166960 is about 20643.8116635470. The cubic root of 426166960 is about 752.5348070565.

The spelling of 426166960 in words is "four hundred twenty-six million, one hundred sixty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 280373 560746 1121492 1401865 2242984 2803730 4485968 5327087 5607460 10654174 11214920 21308348 22429840 26635435 42616696 53270870 85233392 106541740 213083480 426166960