Search a number
-
+
629936640 = 29325191439
BaseRepresentation
bin100101100011000…
…001001000000000
31121220100002121200
4211203001020000
52242230433030
6142301421200
721416241654
oct4543011000
91556302550
10629936640
112a36457a3
12156b6a800
13a067aa98
145d93aa64
153a482d60
hex258c1200

629936640 has 240 divisors, whose sum is σ = 2298067200. Its totient is φ = 159031296.

The previous prime is 629936633. The next prime is 629936663. The reversal of 629936640 is 46639926.

It is a tau number, because it is divible by the number of its divisors (240).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 437041 + ... + 438479.

It is an arithmetic number, because the mean of its divisors is an integer number (9575280).

Almost surely, 2629936640 is an apocalyptic number.

629936640 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 629936640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149033600).

629936640 is an abundant number, since it is smaller than the sum of its proper divisors (1668130560).

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

629936640 is a wasteful number, since it uses less digits than its factorization.

629936640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1468 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 629936640 is about 25098.5386028749. The cubic root of 629936640 is about 857.2331485836.

The spelling of 629936640 in words is "six hundred twenty-nine million, nine hundred thirty-six thousand, six hundred forty".