Search a number
-
+
1163742690 = 235116775209
BaseRepresentation
bin100010101011101…
…0100110111100010
310000002210020212010
41011113110313202
54340404231230
6311251013350
740560435555
oct10527246742
93002706763
101163742690
115479a2120
1228589a256
1315713b356
14b07b269c
156c2779b0
hex455d4de2

1163742690 has 64 divisors (see below), whose sum is σ = 3051976320. Its totient is φ = 281648640.

The previous prime is 1163742683. The next prime is 1163742703. The reversal of 1163742690 is 962473611.

It is a super-2 number, since 2×11637426902 = 2708594097056872200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 220806 + ... + 226014.

It is an arithmetic number, because the mean of its divisors is an integer number (47687130).

Almost surely, 21163742690 is an apocalyptic number.

1163742690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163742690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1525988160).

1163742690 is an abundant number, since it is smaller than the sum of its proper divisors (1888233630).

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

1163742690 is a wasteful number, since it uses less digits than its factorization.

1163742690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 1163742690 is about 34113.6730652095. The cubic root of 1163742690 is about 1051.8463929944.

The spelling of 1163742690 in words is "one billion, one hundred sixty-three million, seven hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 677 1354 2031 3385 4062 5209 6770 7447 10155 10418 14894 15627 20310 22341 26045 31254 37235 44682 52090 57299 74470 78135 111705 114598 156270 171897 223410 286495 343794 572990 859485 1718970 3526493 7052986 10579479 17632465 21158958 35264930 38791423 52897395 77582846 105794790 116374269 193957115 232748538 387914230 581871345 1163742690