Search a number
-
+
1061104540 = 225235993851
BaseRepresentation
bin111111001111110…
…010101110011100
32201221122200210011
4333033302232130
54133120321130
6253143053004
735203145146
oct7717625634
92657580704
101061104540
114a4a69601
12257441164
1313bab2b12
14a0cd5c96
156325152a
hex3f3f2b9c

1061104540 has 48 divisors (see below), whose sum is σ = 2329689600. Its totient is φ = 405204800.

The previous prime is 1061104493. The next prime is 1061104579. The reversal of 1061104540 is 454011601.

It is a super-2 number, since 2×10611045402 = 2251885689617223200, which contains 22 as substring.

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, 273615 + ... + 277465.

It is an arithmetic number, because the mean of its divisors is an integer number (48535200).

Almost surely, 21061104540 is an apocalyptic number.

1061104540 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 1061104540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164844800).

1061104540 is an abundant number, since it is smaller than the sum of its proper divisors (1268585060).

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

1061104540 is a wasteful number, since it uses less digits than its factorization.

1061104540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4480 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 1061104540 is about 32574.5996138095. The cubic root of 1061104540 is about 1019.9668514154.

The spelling of 1061104540 in words is "one billion, sixty-one million, one hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 599 1198 2396 2995 3851 5990 7702 11980 13777 15404 19255 27554 38510 55108 68885 77020 88573 137770 177146 275540 354292 442865 885730 1771460 2306749 4613498 9226996 11533745 23067490 46134980 53055227 106110454 212220908 265276135 530552270 1061104540