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10881234 = 2327213273
BaseRepresentation
bin101001100000…
…100011010010
3202110211020200
4221200203102
510241144414
61025120030
7161326500
oct51404322
922424220
1010881234
116162261
123789016
13233ca00
141633670
15e4e109
hexa608d2

10881234 has 108 divisors (see below), whose sum is σ = 30103866. Its totient is φ = 2830464.

The previous prime is 10881191. The next prime is 10881251. The reversal of 10881234 is 43218801.

It can be written as a sum of positive squares in 3 ways, for example, as 5832225 + 5049009 = 2415^2 + 2247^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10881198 and 10881207.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 149022 + ... + 149094.

Almost surely, 210881234 is an apocalyptic number.

10881234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10881234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15051933).

10881234 is an abundant number, since it is smaller than the sum of its proper divisors (19222632).

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

10881234 is a wasteful number, since it uses less digits than its factorization.

10881234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 10881234 is about 3298.6715507913. The cubic root of 10881234 is about 221.5947073288.

The spelling of 10881234 in words is "ten million, eight hundred eighty-one thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 73 78 91 98 117 126 146 147 169 182 219 234 273 294 338 438 441 507 511 546 637 657 819 882 949 1014 1022 1183 1274 1314 1521 1533 1638 1898 1911 2366 2847 3042 3066 3549 3577 3822 4599 5694 5733 6643 7098 7154 8281 8541 9198 10647 10731 11466 12337 13286 16562 17082 19929 21294 21462 24674 24843 32193 37011 39858 46501 49686 59787 64386 74022 74529 86359 93002 111033 119574 139503 149058 172718 222066 259077 279006 418509 518154 604513 777231 837018 1209026 1554462 1813539 3627078 5440617 10881234