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690967680 = 273513193147
BaseRepresentation
bin101001001011110…
…101010010000000
31210011011210110120
4221023311102000
52403341431210
6152321500240
723060062014
oct5113652200
91704153416
10690967680
11325040277
121734a1680
13b01c9120
1467aa6544
15409db270
hex292f5480

690967680 has 512 divisors, whose sum is σ = 2632089600. Its totient is φ = 152616960.

The previous prime is 690967643. The next prime is 690967687. The reversal of 690967680 is 86769096.

It is a happy number.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (690967687) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14701417 + ... + 14701463.

It is an arithmetic number, because the mean of its divisors is an integer number (5140800).

Almost surely, 2690967680 is an apocalyptic number.

690967680 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 690967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1316044800).

690967680 is an abundant number, since it is smaller than the sum of its proper divisors (1941121920).

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

690967680 is a wasteful number, since it uses less digits than its factorization.

690967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 690967680 is about 26286.2640936288. The cubic root of 690967680 is about 884.0684890597.

The spelling of 690967680 in words is "six hundred ninety million, nine hundred sixty-seven thousand, six hundred eighty".