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1085964 = 2231119433
BaseRepresentation
bin100001001001000001100
32001011122220
410021020030
5234222324
635135340
712142035
oct4111014
92034586
101085964
116819a0
12444550
132c03a9
14203a8c
15166b79
hex10920c

1085964 has 48 divisors (see below), whose sum is σ = 2916480. Its totient is φ = 311040.

The previous prime is 1085957. The next prime is 1085971. The reversal of 1085964 is 4695801.

It is an interprime number because it is at equal distance from previous prime (1085957) and next prime (1085971).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2292 + ... + 2724.

It is an arithmetic number, because the mean of its divisors is an integer number (60760).

21085964 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 1085964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458240).

1085964 is an abundant number, since it is smaller than the sum of its proper divisors (1830516).

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

1085964 is a wasteful number, since it uses less digits than its factorization.

1085964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 1085964 is about 1042.0959648708. The cubic root of 1085964 is about 102.7870675692.

The spelling of 1085964 in words is "one million, eighty-five thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 418 433 627 836 866 1254 1299 1732 2508 2598 4763 5196 8227 9526 14289 16454 19052 24681 28578 32908 49362 57156 90497 98724 180994 271491 361988 542982 1085964