Search a number
-
+
10039392 = 2532113169
BaseRepresentation
bin100110010011…
…000001100000
3200220001110100
4212103001200
510032230032
6555102400
7151222236
oct46230140
920801410
1010039392
115737820
123441a00
13210678c
141494956
15d3497c
hex993060

10039392 has 72 divisors (see below), whose sum is σ = 31154760. Its totient is φ = 3041280.

The previous prime is 10039387. The next prime is 10039409. The reversal of 10039392 is 29393001.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584 + ... + 4752.

It is an arithmetic number, because the mean of its divisors is an integer number (432705).

Almost surely, 210039392 is an apocalyptic number.

10039392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is a pronic number, being equal to 3168×3169.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10039392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15577380).

10039392 is an abundant number, since it is smaller than the sum of its proper divisors (21115368).

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

10039392 is a wasteful number, since it uses less digits than its factorization.

10039392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 10039392 is about 3168.4999605492. The cubic root of 10039392 is about 215.7259899961.

The spelling of 10039392 in words is "ten million, thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3169 6338 9507 12676 19014 25352 28521 34859 38028 50704 57042 69718 76056 101408 104577 114084 139436 152112 209154 228168 278872 304224 313731 418308 456336 557744 627462 836616 912672 1115488 1254924 1673232 2509848 3346464 5019696 10039392