Search a number
-
+
61242840 = 233251710007
BaseRepresentation
bin1110100110011…
…1110111011000
311021020110101100
43221213313120
5111134232330
610024351400
71342361361
oct351476730
9137213340
1061242840
113162a71a
1218615560
13c8c3889
1481c2b68
15559b060
hex3a67dd8

61242840 has 96 divisors (see below), whose sum is σ = 210768480. Its totient is φ = 15369216.

The previous prime is 61242827. The next prime is 61242877. The reversal of 61242840 is 4824216.

61242840 is a `hidden beast` number, since 612 + 4 + 2 + 8 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1117 + ... + 11123.

It is an arithmetic number, because the mean of its divisors is an integer number (2195505).

Almost surely, 261242840 is an apocalyptic number.

61242840 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 61242840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105384240).

61242840 is an abundant number, since it is smaller than the sum of its proper divisors (149525640).

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

61242840 is a wasteful number, since it uses less digits than its factorization.

61242840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10041 (or 10034 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 61242840 is about 7825.7804722596. The cubic root of 61242840 is about 394.1713976809.

The spelling of 61242840 in words is "sixty-one million, two hundred forty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 30 34 36 40 45 51 60 68 72 85 90 102 120 136 153 170 180 204 255 306 340 360 408 510 612 680 765 1020 1224 1530 2040 3060 6120 10007 20014 30021 40028 50035 60042 80056 90063 100070 120084 150105 170119 180126 200140 240168 300210 340238 360252 400280 450315 510357 600420 680476 720504 850595 900630 1020714 1200840 1360952 1531071 1701190 1801260 2041428 2551785 3062142 3402380 3602520 4082856 5103570 6124284 6804760 7655355 10207140 12248568 15310710 20414280 30621420 61242840