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669929400 = 233352737479
BaseRepresentation
bin100111111011100…
…100111110111000
31201200120221101000
4213323210332320
52333000220100
6150250525000
722413206640
oct4773447670
91650527330
10669929400
11314180968
12168436760
13a8a4123a
1464d8b520
153dc32900
hex27ee4fb8

669929400 has 384 divisors, whose sum is σ = 2714112000. Its totient is φ = 148677120.

The previous prime is 669929357. The next prime is 669929411. The reversal of 669929400 is 4929966.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1398361 + ... + 1398839.

It is an arithmetic number, because the mean of its divisors is an integer number (7068000).

Almost surely, 2669929400 is an apocalyptic number.

669929400 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 669929400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357056000).

669929400 is an abundant number, since it is smaller than the sum of its proper divisors (2044182600).

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

669929400 is a wasteful number, since it uses less digits than its factorization.

669929400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 669929400 is about 25882.9944171844. The cubic root of 669929400 is about 875.0032761782.

The spelling of 669929400 in words is "six hundred sixty-nine million, nine hundred twenty-nine thousand, four hundred".