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10029384 = 2332139297
BaseRepresentation
bin100110010000…
…100101001000
3200212112201200
4212100211020
510031420014
6554544200
7151151121
oct46204510
920775650
1010029384
115730252
123438060
132102061
141491048
15d31a09
hex990948

10029384 has 24 divisors (see below), whose sum is σ = 27163110. Its totient is φ = 3343104.

The previous prime is 10029367. The next prime is 10029407. The reversal of 10029384 is 48392001.

It can be written as a sum of positive squares in only one way, i.e., 6502500 + 3526884 = 2550^2 + 1878^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 69577 + ... + 69720.

Almost surely, 210029384 is an apocalyptic number.

It is an amenable number.

10029384 is an abundant number, since it is smaller than the sum of its proper divisors (17133726).

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

10029384 is a wasteful number, since it uses less digits than its factorization.

10029384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139309 (or 139302 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 10029384 is about 3166.9202705468. The cubic root of 10029384 is about 215.6542823496.

The spelling of 10029384 in words is "ten million, twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139297 278594 417891 557188 835782 1114376 1253673 1671564 2507346 3343128 5014692 10029384