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697893120 = 28325292089
BaseRepresentation
bin101001100110010…
…000000100000000
31210122012122101100
4221212100010000
52412130034440
6153130134400
723202664551
oct5146200400
91718178340
10697893120
11328a40481
12175881400
13b1782412
146898a328
1541408230
hex29990100

697893120 has 216 divisors, whose sum is σ = 2499096600. Its totient is φ = 179601408.

The previous prime is 697893107. The next prime is 697893121. The reversal of 697893120 is 21398796.

It can be written as a sum of positive squares in 4 ways, for example, as 191102976 + 506790144 = 13824^2 + 22512^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (697893121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 333036 + ... + 335124.

Almost surely, 2697893120 is an apocalyptic number.

697893120 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 697893120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249548300).

697893120 is an abundant number, since it is smaller than the sum of its proper divisors (1801203480).

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

697893120 is a wasteful number, since it uses less digits than its factorization.

697893120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2145 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 697893120 is about 26417.6668159775. Note that the first 3 decimals coincide. The cubic root of 697893120 is about 887.0122935694.

The spelling of 697893120 in words is "six hundred ninety-seven million, eight hundred ninety-three thousand, one hundred twenty".