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507694068 = 22357293183
BaseRepresentation
bin11110010000101…
…100101111110100
31022101022112100000
4132100230233310
52014432202233
6122213351300
715403220430
oct3620545764
91271275300
10507694068
11240642082
12122038530
138124a1bb
144b5d99c0
152e887d13
hex1e42cbf4

507694068 has 288 divisors, whose sum is σ = 1643765760. Its totient is φ = 133902720.

The previous prime is 507694067. The next prime is 507694073. The reversal of 507694068 is 860496705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507694067) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6116755 + ... + 6116837.

It is an arithmetic number, because the mean of its divisors is an integer number (5707520).

Almost surely, 2507694068 is an apocalyptic number.

507694068 is a gapful number since it is divisible by the number (58) 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 507694068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821882880).

507694068 is an abundant number, since it is smaller than the sum of its proper divisors (1136071692).

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

507694068 is a wasteful number, since it uses less digits than its factorization.

507694068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 507694068 is about 22532.0675482744. The cubic root of 507694068 is about 797.7510105661.

The spelling of 507694068 in words is "five hundred seven million, six hundred ninety-four thousand, sixty-eight".