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1157801040 = 243451137439
BaseRepresentation
bin100010100000010…
…1010010001010000
32222200121101110000
41011000222101100
54332344113130
6310515410000
740456101144
oct10500522120
92880541400
101157801040
11544604070
122838b3900
13155b3aa96
14adaa7224
156b9a2260
hex4502a450

1157801040 has 400 divisors, whose sum is σ = 4515603840. Its totient is φ = 272471040.

The previous prime is 1157801027. The next prime is 1157801069. The reversal of 1157801040 is 401087511.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1157800995 and 1157801013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2637141 + ... + 2637579.

Almost surely, 21157801040 is an apocalyptic number.

1157801040 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 1157801040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257801920).

1157801040 is an abundant number, since it is smaller than the sum of its proper divisors (3357802800).

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

1157801040 is a wasteful number, since it uses less digits than its factorization.

1157801040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 1157801040 is about 34026.4755741761. The cubic root of 1157801040 is about 1050.0532217921.

Adding to 1157801040 its reverse (401087511), we get a palindrome (1558888551).

The spelling of 1157801040 in words is "one billion, one hundred fifty-seven million, eight hundred one thousand, forty".