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1157145340 = 2251327716067
BaseRepresentation
bin100010011111000…
…1010001011111100
32222122101001222211
41010332022023330
54332212122330
6310453350204
740450400401
oct10476121374
92878331884
101157145340
115441a646a
12283638364
1315596b4b0
14ad9762a8
156b8c2d2a
hex44f8a2fc

1157145340 has 48 divisors (see below), whose sum is σ = 2626539552. Its totient is φ = 425684736.

The previous prime is 1157145329. The next prime is 1157145373. The reversal of 1157145340 is 435417511.

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, 63987 + ... + 80053.

It is an arithmetic number, because the mean of its divisors is an integer number (54719574).

Almost surely, 21157145340 is an apocalyptic number.

1157145340 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 1157145340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313269776).

1157145340 is an abundant number, since it is smaller than the sum of its proper divisors (1469394212).

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

1157145340 is a wasteful number, since it uses less digits than its factorization.

1157145340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16366 (or 16364 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 31.

The square root of 1157145340 is about 34016.8390653805. The cubic root of 1157145340 is about 1049.8549580456.

The spelling of 1157145340 in words is "one billion, one hundred fifty-seven million, one hundred forty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 277 554 1108 1385 2770 3601 5540 7202 14404 16067 18005 32134 36010 64268 72020 80335 160670 208871 321340 417742 835484 1044355 2088710 4177420 4450559 8901118 17802236 22252795 44505590 57857267 89011180 115714534 231429068 289286335 578572670 1157145340