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1157662660 = 2257112371847
BaseRepresentation
bin100010100000000…
…1000011111000100
32222200100100121211
41011000020133010
54332330201120
6310512421204
740454653540
oct10500103704
92880310554
101157662660
1154451a100
12283847804
13155abcabb
14ada6ca20
156b97625a
hex450087c4

1157662660 has 144 divisors (see below), whose sum is σ = 3138170112. Its totient is φ = 350887680.

The previous prime is 1157662643. The next prime is 1157662663. The reversal of 1157662660 is 662667511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157662663) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 625857 + ... + 627703.

It is an arithmetic number, because the mean of its divisors is an integer number (21792848).

Almost surely, 21157662660 is an apocalyptic number.

1157662660 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 1157662660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1569085056).

1157662660 is an abundant number, since it is smaller than the sum of its proper divisors (1980507452).

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

1157662660 is a wasteful number, since it uses less digits than its factorization.

1157662660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1922 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 1157662660 is about 34024.4420968221. The cubic root of 1157662660 is about 1050.0113861199.

The spelling of 1157662660 in words is "one billion, one hundred fifty-seven million, six hundred sixty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 37 44 55 70 74 77 110 121 140 148 154 185 220 242 259 308 370 385 407 484 518 605 740 770 814 847 1036 1210 1295 1540 1628 1694 1847 2035 2420 2590 2849 3388 3694 4070 4235 4477 5180 5698 7388 8140 8470 8954 9235 11396 12929 14245 16940 17908 18470 20317 22385 25858 28490 31339 36940 40634 44770 51716 56980 62678 64645 68339 81268 89540 101585 125356 129290 136678 142219 156695 203170 223487 258580 273356 284438 313390 341695 406340 446974 478373 568876 626780 683390 711095 751729 893948 956746 1117435 1366780 1422190 1503458 1564409 1913492 2234870 2391865 2844380 3006916 3128818 3758645 4469740 4783730 5262103 6257636 7517290 7822045 8269019 9567460 10524206 15034580 15644090 16538038 21048412 26310515 31288180 33076076 41345095 52621030 57883133 82690190 105242060 115766266 165380380 231532532 289415665 578831330 1157662660