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10247040 = 27335593
BaseRepresentation
bin100111000101…
…101110000000
3201021121022000
4213011232000
510110401130
61003344000
7153045516
oct47055600
921247260
1010247040
115869831
123522000
13217a14b
14150a4b6
15d76260
hex9c5b80

10247040 has 128 divisors (see below), whose sum is σ = 36352800. Its totient is φ = 2727936.

The previous prime is 10247021. The next prime is 10247051. The reversal of 10247040 is 4074201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 16984 + ... + 17576.

Almost surely, 210247040 is an apocalyptic number.

10247040 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 10247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18176400).

10247040 is an abundant number, since it is smaller than the sum of its proper divisors (26105760).

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

10247040 is an equidigital number, since it uses as much as digits as its factorization.

10247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10247040 is about 3201.0998110025. The cubic root of 10247040 is about 217.2031622506.

The spelling of 10247040 in words is "ten million, two hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 593 640 720 864 960 1080 1152 1186 1440 1728 1779 1920 2160 2372 2880 2965 3456 3558 4320 4744 5337 5760 5930 7116 8640 8895 9488 10674 11860 14232 16011 17280 17790 18976 21348 23720 26685 28464 32022 35580 37952 42696 47440 53370 56928 64044 71160 75904 80055 85392 94880 106740 113856 128088 142320 160110 170784 189760 213480 227712 256176 284640 320220 341568 379520 426960 512352 569280 640440 683136 853920 1024704 1138560 1280880 1707840 2049408 2561760 3415680 5123520 10247040