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10339488 = 25343989
BaseRepresentation
bin100111011100…
…010010100000
3201110022010000
4213130102200
510121330423
61005340000
7153612165
oct47342240
921408100
1010339488
115922235
123567600
1321b0253
14153206c
15d93843
hex9dc4a0

10339488 has 60 divisors (see below), whose sum is σ = 30415770. Its totient is φ = 3445632.

The previous prime is 10339487. The next prime is 10339493. The reversal of 10339488 is 88493301.

It can be written as a sum of positive squares in only one way, i.e., 8928144 + 1411344 = 2988^2 + 1188^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10339487) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 598 + ... + 4586.

Almost surely, 210339488 is an apocalyptic number.

10339488 is a gapful number since it is divisible by the number (18) 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 10339488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15207885).

10339488 is an abundant number, since it is smaller than the sum of its proper divisors (20076282).

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

10339488 is an equidigital number, since it uses as much as digits as its factorization.

10339488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 10339488 is about 3215.5074249642. The cubic root of 10339488 is about 217.8544043679.

The spelling of 10339488 in words is "ten million, three hundred thirty-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 3989 7978 11967 15956 23934 31912 35901 47868 63824 71802 95736 107703 127648 143604 191472 215406 287208 323109 382944 430812 574416 646218 861624 1148832 1292436 1723248 2584872 3446496 5169744 10339488