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10240992 = 2536439
BaseRepresentation
bin100111000100…
…001111100000
3201021022000000
4213010033200
510110202432
61003300000
7153022056
oct47041740
921238000
1010240992
115865233
12351a600
132177478
1415081d6
15d7457c
hex9c43e0

10240992 has 84 divisors (see below), whose sum is σ = 30297960. Its totient is φ = 3405888.

The previous prime is 10240961. The next prime is 10241027. The reversal of 10240992 is 29904201.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 23109 + ... + 23547.

It is an arithmetic number, because the mean of its divisors is an integer number (360690).

Almost surely, 210240992 is an apocalyptic number.

10240992 is a gapful number since it is divisible by the number (12) 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 10240992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148980).

10240992 is an abundant number, since it is smaller than the sum of its proper divisors (20056968).

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

10240992 is an frugal number, since it uses more digits than its factorization.

10240992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10240992 is about 3200.1549962463. The cubic root of 10240992 is about 217.1604213467.

The spelling of 10240992 in words is "ten million, two hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 439 486 648 729 864 878 972 1296 1317 1458 1756 1944 2592 2634 2916 3512 3888 3951 5268 5832 7024 7776 7902 10536 11664 11853 14048 15804 21072 23328 23706 31608 35559 42144 47412 63216 71118 94824 106677 126432 142236 189648 213354 284472 320031 379296 426708 568944 640062 853416 1137888 1280124 1706832 2560248 3413664 5120496 10240992