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10028432 = 242921613
BaseRepresentation
bin100110010000…
…010110010000
3200212111102102
4212100112100
510031402212
6554535532
7151145261
oct46202620
920774372
1010028432
11572a567
1234375a8
1321017ab
141490968
15d315c2
hex990590

10028432 has 20 divisors (see below), whose sum is σ = 20101020. Its totient is φ = 4841088.

The previous prime is 10028429. The next prime is 10028441. The reversal of 10028432 is 23482001.

It can be written as a sum of positive squares in 2 ways, for example, as 8549776 + 1478656 = 2924^2 + 1216^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10343 + ... + 11270.

It is an arithmetic number, because the mean of its divisors is an integer number (1005051).

Almost surely, 210028432 is an apocalyptic number.

It is an amenable number.

10028432 is an abundant number, since it is smaller than the sum of its proper divisors (10072588).

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

10028432 is a wasteful number, since it uses less digits than its factorization.

10028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21650 (or 21644 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 10028432 is about 3166.7699632275. The cubic root of 10028432 is about 215.6474587543.

It can be divided in two parts, 10028 and 432, that multiplied together give a triangular number (4332096 = T2943).

The spelling of 10028432 in words is "ten million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 29 58 116 232 464 21613 43226 86452 172904 345808 626777 1253554 2507108 5014216 10028432