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12261788 = 2271141971
BaseRepresentation
bin101110110001…
…100110011100
3212001222000022
4232301212130
511114334123
61114451312
7206136440
oct56614634
925058008
1012261788
116a15510
124133b38
1327041c6
1418b2820
1511231c8
hexbb199c

12261788 has 48 divisors (see below), whose sum is σ = 27433728. Its totient is φ = 4656000.

The previous prime is 12261713. The next prime is 12261791. The reversal of 12261788 is 88716221.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12143 + ... + 13113.

It is an arithmetic number, because the mean of its divisors is an integer number (571536).

Almost surely, 212261788 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12261788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13716864).

12261788 is an abundant number, since it is smaller than the sum of its proper divisors (15171940).

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

12261788 is a wasteful number, since it uses less digits than its factorization.

12261788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1032 counting only the distinct ones).

The product of its digits is 10752, while the sum is 35.

The square root of 12261788 is about 3501.6835950725. The cubic root of 12261788 is about 230.5957335140.

It can be divided in two parts, 1226178 and 8, that multiplied together give a square (9809424 = 31322).

The spelling of 12261788 in words is "twelve million, two hundred sixty-one thousand, seven hundred eighty-eight".

Divisors: 1 2 4 7 11 14 22 28 41 44 77 82 154 164 287 308 451 574 902 971 1148 1804 1942 3157 3884 6314 6797 10681 12628 13594 21362 27188 39811 42724 74767 79622 149534 159244 278677 299068 437921 557354 875842 1114708 1751684 3065447 6130894 12261788