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10285056 = 2123431
BaseRepresentation
bin100111001111…
…000000000000
3201100112110000
4213033000000
510113110211
61004240000
7153264405
oct47170000
921315400
1010285056
115895351
123540000
132191542
14151a2ac
15d82656
hex9cf000

10285056 has 130 divisors (see below), whose sum is σ = 31715552. Its totient is φ = 3317760.

The previous prime is 10285039. The next prime is 10285073. The reversal of 10285056 is 65058201.

It is an interprime number because it is at equal distance from previous prime (10285039) and next prime (10285073).

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 9 ways as a sum of consecutive naturals, for example, 331761 + ... + 331791.

Almost surely, 210285056 is an apocalyptic number.

10285056 is a gapful number since it is divisible by the number (16) 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 10285056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15857776).

10285056 is an abundant number, since it is smaller than the sum of its proper divisors (21430496).

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

10285056 is an frugal number, since it uses more digits than its factorization.

10285056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 10285056 is about 3207.0322729901. The cubic root of 10285056 is about 217.4714350120.

It can be divided in two parts, 1028 and 5056, that added together give a square (6084 = 782).

The spelling of 10285056 in words is "ten million, two hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 128 144 162 186 192 216 248 256 279 288 324 372 384 432 496 512 558 576 648 744 768 837 864 992 1024 1116 1152 1296 1488 1536 1674 1728 1984 2048 2232 2304 2511 2592 2976 3072 3348 3456 3968 4096 4464 4608 5022 5184 5952 6144 6696 6912 7936 8928 9216 10044 10368 11904 12288 13392 13824 15872 17856 18432 20088 20736 23808 26784 27648 31744 35712 36864 40176 41472 47616 53568 55296 63488 71424 80352 82944 95232 107136 110592 126976 142848 160704 165888 190464 214272 285696 321408 331776 380928 428544 571392 642816 857088 1142784 1285632 1714176 2571264 3428352 5142528 10285056