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1157088 = 25317709
BaseRepresentation
bin100011010011111100000
32011210020010
410122133200
5244011323
640444520
712556302
oct4323740
92153203
101157088
11720379
12479740
1331688a
14221972
1517cc93
hex11a7e0

1157088 has 48 divisors (see below), whose sum is σ = 3220560. Its totient is φ = 362496.

The previous prime is 1157077. The next prime is 1157099. The reversal of 1157088 is 8807511.

It is an interprime number because it is at equal distance from previous prime (1157077) and next prime (1157099).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1278 + ... + 1986.

It is an arithmetic number, because the mean of its divisors is an integer number (67095).

21157088 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 1157088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610280).

1157088 is an abundant number, since it is smaller than the sum of its proper divisors (2063472).

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

1157088 is a wasteful number, since it uses less digits than its factorization.

1157088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The square root of 1157088 is about 1075.6802498884. The cubic root of 1157088 is about 104.9837616612.

The spelling of 1157088 in words is "one million, one hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 709 816 1418 1632 2127 2836 4254 5672 8508 11344 12053 17016 22688 24106 34032 36159 48212 68064 72318 96424 144636 192848 289272 385696 578544 1157088