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1157035660 = 2251147149751
BaseRepresentation
bin100010011110110…
…1111011010001100
32222122011111112121
41010331233122030
54332200120120
6310451142324
740446432544
oct10475573214
92878144477
101157035660
11544131020
122835a49a4
131559305b1
14ad948324
156b8a05aa
hex44f6f68c

1157035660 has 96 divisors (see below), whose sum is σ = 2728857600. Its totient is φ = 408480000.

The previous prime is 1157035637. The next prime is 1157035669. The reversal of 1157035660 is 665307511.

It is not an unprimeable number, because it can be changed into a prime (1157035669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1540285 + ... + 1541035.

It is an arithmetic number, because the mean of its divisors is an integer number (28425600).

Almost surely, 21157035660 is an apocalyptic number.

1157035660 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 1157035660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364428800).

1157035660 is an abundant number, since it is smaller than the sum of its proper divisors (1571821940).

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

1157035660 is a wasteful number, since it uses less digits than its factorization.

1157035660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 1157035660 is about 34015.2268844410. The cubic root of 1157035660 is about 1049.8217868365.

The spelling of 1157035660 in words is "one billion, one hundred fifty-seven million, thirty-five thousand, six hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 149 188 220 235 298 470 517 596 745 751 940 1034 1490 1502 1639 2068 2585 2980 3004 3278 3755 5170 6556 7003 7510 8195 8261 10340 14006 15020 16390 16522 28012 32780 33044 35015 35297 41305 70030 70594 77033 82610 111899 140060 141188 154066 165220 176485 223798 308132 352970 385165 388267 447596 559495 705940 770330 776534 1118990 1230889 1540660 1553068 1941335 2237980 2461778 3882670 4923556 5259253 6154445 7765340 10518506 12308890 21037012 24617780 26296265 52592530 57851783 105185060 115703566 231407132 289258915 578517830 1157035660