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10039040 = 285112331
BaseRepresentation
bin100110010010…
…111100000000
3200220000222022
4212102330000
510032222130
6555101012
7151221224
oct46227400
920800868
1010039040
115737530
123441768
13210657b
141494784
15d347e5
hex992f00

10039040 has 144 divisors (see below), whose sum is σ = 28256256. Its totient is φ = 3379200.

The previous prime is 10039039. The next prime is 10039093. The reversal of 10039040 is 4093001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323825 + ... + 323855.

It is an arithmetic number, because the mean of its divisors is an integer number (196224).

Almost surely, 210039040 is an apocalyptic number.

10039040 is a gapful number since it is divisible by the number (10) 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 10039040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14128128).

10039040 is an abundant number, since it is smaller than the sum of its proper divisors (18217216).

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

10039040 is a wasteful number, since it uses less digits than its factorization.

10039040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 10039040 is about 3168.4444132729. Note that the first 4 decimals coincide. The cubic root of 10039040 is about 215.7234687134.

The spelling of 10039040 in words is "ten million, thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 31 32 40 44 46 55 62 64 80 88 92 110 115 124 128 155 160 176 184 220 230 248 253 256 310 320 341 352 368 440 460 496 506 620 640 682 704 713 736 880 920 992 1012 1240 1265 1280 1364 1408 1426 1472 1705 1760 1840 1984 2024 2480 2530 2728 2816 2852 2944 3410 3520 3565 3680 3968 4048 4960 5060 5456 5704 5888 6820 7040 7130 7360 7843 7936 8096 9920 10120 10912 11408 13640 14080 14260 14720 15686 16192 19840 20240 21824 22816 27280 28520 29440 31372 32384 39215 39680 40480 43648 45632 54560 57040 62744 64768 78430 80960 87296 91264 109120 114080 125488 156860 161920 182528 218240 228160 250976 313720 323840 436480 456320 501952 627440 912640 1003904 1254880 2007808 2509760 5019520 10039040