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10748232 = 23321141331
BaseRepresentation
bin101001000000…
…000101001000
3202020001210200
4221000011020
510222420412
61022212200
7160233645
oct51000510
922201720
1010748232
116081340
123724060
1322c4301
1415dadcc
15e249dc
hexa40148

10748232 has 96 divisors (see below), whose sum is σ = 32628960. Its totient is φ = 3168000.

The previous prime is 10748219. The next prime is 10748303. The reversal of 10748232 is 23284701.

It is a super-2 number, since 2×107482322 = 231048982251648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10748196 and 10748205.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32307 + ... + 32637.

It is an arithmetic number, because the mean of its divisors is an integer number (339885).

Almost surely, 210748232 is an apocalyptic number.

10748232 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 10748232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16314480).

10748232 is an abundant number, since it is smaller than the sum of its proper divisors (21880728).

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

10748232 is a wasteful number, since it uses less digits than its factorization.

10748232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10748232 is about 3278.4496335921. The cubic root of 10748232 is about 220.6881482948.

The spelling of 10748232 in words is "ten million, seven hundred forty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 41 44 66 72 82 88 99 123 132 164 198 246 264 328 331 369 396 451 492 662 738 792 902 984 993 1324 1353 1476 1804 1986 2648 2706 2952 2979 3608 3641 3972 4059 5412 5958 7282 7944 8118 10824 10923 11916 13571 14564 16236 21846 23832 27142 29128 32472 32769 40713 43692 54284 65538 81426 87384 108568 122139 131076 149281 162852 244278 262152 298562 325704 447843 488556 597124 895686 977112 1194248 1343529 1791372 2687058 3582744 5374116 10748232