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10712898 = 23574767
BaseRepresentation
bin101000110111…
…011101000010
3202011021100000
4220313131002
510220303043
61021340430
7160025640
oct50673502
922137300
1010712898
116057839
123707716
1322b11c1
1415cc190
15e192d3
hexa37742

10712898 has 96 divisors (see below), whose sum is σ = 28514304. Its totient is φ = 2950992.

The previous prime is 10712833. The next prime is 10712899. The reversal of 10712898 is 89821701.

10712898 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107128982 = 229532367116808, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10712899) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159861 + ... + 159927.

It is an arithmetic number, because the mean of its divisors is an integer number (297024).

Almost surely, 210712898 is an apocalyptic number.

10712898 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10712898, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152).

10712898 is an abundant number, since it is smaller than the sum of its proper divisors (17801406).

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

10712898 is an equidigital number, since it uses as much as digits as its factorization.

10712898 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 10712898 is about 3273.0563698171. The cubic root of 10712898 is about 220.4460509415.

It can be divided in two parts, 1071 and 2898, that added together give a square (3969 = 632).

The spelling of 10712898 in words is "ten million, seven hundred twelve thousand, eight hundred ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 47 54 63 67 81 94 126 134 141 162 189 201 243 282 329 378 402 423 469 486 567 603 658 846 938 987 1134 1206 1269 1407 1701 1809 1974 2538 2814 2961 3149 3402 3618 3807 4221 5427 5922 6298 7614 8442 8883 9447 10854 11421 12663 16281 17766 18894 22043 22842 25326 26649 28341 32562 37989 44086 53298 56682 66129 75978 79947 85023 113967 132258 159894 170046 198387 227934 255069 396774 510138 595161 765207 1190322 1530414 1785483 3570966 5356449 10712898