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620970000 = 2435472957
BaseRepresentation
bin100101000000110…
…100000000010000
31121021110112200220
4211000310000100
52232432020000
6141341313040
721250105110
oct4500640020
91537415626
10620970000
11299580a52
12153b65780
139b85b691
145c685040
15397b11a0
hex25034010

620970000 has 200 divisors, whose sum is σ = 2291716416. Its totient is φ = 141888000.

The previous prime is 620969983. The next prime is 620970029. The reversal of 620970000 is 79026.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208522 + ... + 211478.

Almost surely, 2620970000 is an apocalyptic number.

620970000 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 620970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145858208).

620970000 is an abundant number, since it is smaller than the sum of its proper divisors (1670746416).

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

620970000 is a wasteful number, since it uses less digits than its factorization.

620970000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995 (or 2974 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 620970000 is about 24919.2696522189. The cubic root of 620970000 is about 853.1463552464.

The spelling of 620970000 in words is "six hundred twenty million, nine hundred seventy thousand".