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420970680 = 2332513293307
BaseRepresentation
bin11001000101111…
…000000010111000
31002100010112012200
4121011320002320
51330232030210
6105434510200
713301122524
oct3105700270
91070115180
10420970680
111a6699559
12b8b95360
13692a47a0
143dca2d84
1526e570c0
hex191780b8

420970680 has 192 divisors, whose sum is σ = 1483241760. Its totient is φ = 102933504.

The previous prime is 420970663. The next prime is 420970717. The reversal of 420970680 is 86079024.

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 47 ways as a sum of consecutive naturals, for example, 1371087 + ... + 1371393.

Almost surely, 2420970680 is an apocalyptic number.

420970680 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 420970680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741620880).

420970680 is an abundant number, since it is smaller than the sum of its proper divisors (1062271080).

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

420970680 is a wasteful number, since it uses less digits than its factorization.

420970680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 420970680 is about 20517.5700315608. The cubic root of 420970680 is about 749.4637233011.

The spelling of 420970680 in words is "four hundred twenty million, nine hundred seventy thousand, six hundred eighty".