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1157040 = 243251607
BaseRepresentation
bin100011010011110110000
32011210011100
410122132300
5244011130
640444400
712556203
oct4323660
92153140
101157040
11720335
12479700
13316851
1422193a
1517cc60
hex11a7b0

1157040 has 60 divisors (see below), whose sum is σ = 3888144. Its totient is φ = 308352.

The previous prime is 1157033. The next prime is 1157053. The reversal of 1157040 is 407511.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84 + ... + 1523.

21157040 is an apocalyptic number.

1157040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944072).

1157040 is an abundant number, since it is smaller than the sum of its proper divisors (2731104).

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

1157040 is a wasteful number, since it uses less digits than its factorization.

1157040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1626 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 1157040 is about 1075.6579381941. The cubic root of 1157040 is about 104.9823099450.

The spelling of 1157040 in words is "one million, one hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1607 3214 4821 6428 8035 9642 12856 14463 16070 19284 24105 25712 28926 32140 38568 48210 57852 64280 72315 77136 96420 115704 128560 144630 192840 231408 289260 385680 578520 1157040