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61969080 = 23351737821
BaseRepresentation
bin1110110001100…
…1001010111000
311022121100121010
43230121022320
5111331002310
610052113520
71351504605
oct354311270
9138540533
1061969080
1131a86318
12189058a0
13cab92c4
1483316ac
155691320
hex3b192b8

61969080 has 128 divisors (see below), whose sum is σ = 202409280. Its totient is φ = 15114240.

The previous prime is 61969079. The next prime is 61969099. The reversal of 61969080 is 8096916.

61969080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75070 + ... + 75890.

Almost surely, 261969080 is an apocalyptic number.

61969080 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 61969080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101204640).

61969080 is an abundant number, since it is smaller than the sum of its proper divisors (140440200).

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

61969080 is a wasteful number, since it uses less digits than its factorization.

61969080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 889 (or 885 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 39.

The square root of 61969080 is about 7872.0442071929. The cubic root of 61969080 is about 395.7233553993.

The spelling of 61969080 in words is "sixty-one million, nine hundred sixty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 37 40 51 60 68 74 85 102 111 120 136 148 170 185 204 222 255 296 340 370 408 444 510 555 629 680 740 821 888 1020 1110 1258 1480 1642 1887 2040 2220 2463 2516 3145 3284 3774 4105 4440 4926 5032 6290 6568 7548 8210 9435 9852 12315 12580 13957 15096 16420 18870 19704 24630 25160 27914 30377 32840 37740 41871 49260 55828 60754 69785 75480 83742 91131 98520 111656 121508 139570 151885 167484 182262 209355 243016 279140 303770 334968 364524 418710 455655 516409 558280 607540 729048 837420 911310 1032818 1215080 1549227 1674840 1822620 2065636 2582045 3098454 3645240 4131272 5164090 6196908 7746135 10328180 12393816 15492270 20656360 30984540 61969080