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632053420 = 225313133257
BaseRepresentation
bin100101101011000…
…101111010101100
31122001022122021221
4211223011322230
52243301202140
6142415033124
721443236225
oct4553057254
91561278257
10632053420
112a48610a9
1215780b7a4
13a0c3c40b
145dd2c24c
153a75014a
hex25ac5eac

632053420 has 48 divisors (see below), whose sum is σ = 1374928128. Its totient is φ = 243809280.

The previous prime is 632053399. The next prime is 632053427. The reversal of 632053420 is 24350236.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (632053427) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192432 + ... + 195688.

It is an arithmetic number, because the mean of its divisors is an integer number (28644336).

Almost surely, 2632053420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 632053420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687464064).

632053420 is an abundant number, since it is smaller than the sum of its proper divisors (742874708).

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

632053420 is a wasteful number, since it uses less digits than its factorization.

632053420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3610 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 25.

The square root of 632053420 is about 25140.6726242557. The cubic root of 632053420 is about 858.1922637004.

The spelling of 632053420 in words is "six hundred thirty-two million, fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 313 620 626 1252 1565 3130 3257 6260 6514 9703 13028 16285 19406 32570 38812 48515 65140 97030 100967 194060 201934 403868 504835 1009670 1019441 2019340 2038882 4077764 5097205 10194410 20388820 31602671 63205342 126410684 158013355 316026710 632053420