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690138120 = 2335717311559
BaseRepresentation
bin101001001000101…
…010110000001000
31210002121122112010
4221020222300020
52403133404440
6152252015520
723050035330
oct5110526010
91702548463
10690138120
11324623a91
121731615a0
13acc98669
146792c0c0
15408c5580
hex2922ac08

690138120 has 256 divisors, whose sum is σ = 2587852800. Its totient is φ = 143585280.

The previous prime is 690138109. The next prime is 690138139. The reversal of 690138120 is 21831096.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 441901 + ... + 443459.

It is an arithmetic number, because the mean of its divisors is an integer number (10108800).

Almost surely, 2690138120 is an apocalyptic number.

690138120 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 690138120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293926400).

690138120 is an abundant number, since it is smaller than the sum of its proper divisors (1897714680).

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

690138120 is a wasteful number, since it uses less digits than its factorization.

690138120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1628 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 690138120 is about 26270.4800108411. The cubic root of 690138120 is about 883.7145499058.

The spelling of 690138120 in words is "six hundred ninety million, one hundred thirty-eight thousand, one hundred twenty".