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941620680 = 2333571113267
BaseRepresentation
bin111000000111111…
…111110111001000
32102121211021202000
4320013333313020
53412023330210
6233234111000
732222433540
oct7007776710
92377737660
10941620680
1144357a610
1222341b460
13120109b00
148d0b2320
15579edac0
hex381ffdc8

941620680 has 768 divisors, whose sum is σ = 4300646400. Its totient is φ = 177914880.

The previous prime is 941620657. The next prime is 941620681. The reversal of 941620680 is 86026149.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (941620681) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14054007 + ... + 14054073.

It is an arithmetic number, because the mean of its divisors is an integer number (5599800).

Almost surely, 2941620680 is an apocalyptic number.

941620680 is a gapful number since it is divisible by the number (90) 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 941620680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2150323200).

941620680 is an abundant number, since it is smaller than the sum of its proper divisors (3359025720).

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

941620680 is a wasteful number, since it uses less digits than its factorization.

941620680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 941620680 is about 30685.8384275222. The cubic root of 941620680 is about 980.1487626453.

The spelling of 941620680 in words is "nine hundred forty-one million, six hundred twenty thousand, six hundred eighty".