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6161124540 = 22352310394297
BaseRepresentation
bin1011011110011101…
…10100110010111100
3120220101020112222210
411233032310302330
5100104221441130
62455210140420
7305451460134
oct55716646274
916811215883
106161124540
11268188106a
12123b421710
1377259132c
14426391ac4
15260d635b0
hex16f3b4cbc

6161124540 has 96 divisors (see below), whose sum is σ = 18022717440. Its totient is φ = 1569655296.

The previous prime is 6161124469. The next prime is 6161124551. The reversal of 6161124540 is 454211616.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6161124498 and 6161124507.

It is a congruent number.

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, 1431672 + ... + 1435968.

It is an arithmetic number, because the mean of its divisors is an integer number (187736640).

Almost surely, 26161124540 is an apocalyptic number.

6161124540 is a gapful number since it is divisible by the number (60) 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 6161124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9011358720).

6161124540 is an abundant number, since it is smaller than the sum of its proper divisors (11861592900).

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

6161124540 is a wasteful number, since it uses less digits than its factorization.

6161124540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5371 (or 5369 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 6161124540 is about 78492.8311376268. The cubic root of 6161124540 is about 1833.2428332921.

The spelling of 6161124540 in words is "six billion, one hundred sixty-one million, one hundred twenty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1039 1380 2078 3117 4156 4297 5195 6234 8594 10390 12468 12891 15585 17188 20780 21485 23897 25782 31170 42970 47794 51564 62340 64455 71691 85940 95588 98831 119485 128910 143382 197662 238970 257820 286764 296493 358455 395324 477940 494155 592986 716910 988310 1185972 1433820 1482465 1976620 2964930 4464583 5929860 8929166 13393749 17858332 22322915 26787498 44645830 53574996 66968745 89291660 102685409 133937490 205370818 267874980 308056227 410741636 513427045 616112454 1026854090 1232224908 1540281135 2053708180 3080562270 6161124540