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61830516 = 22311297439
BaseRepresentation
bin1110101111011…
…1010101110100
311022100022112010
43223313111310
5111312034031
610045124220
71350356616
oct353672564
9138308463
1061830516
11319a1200
1218859670
13ca6b207
1482d6db6
155665246
hex3af7574

61830516 has 72 divisors (see below), whose sum is σ = 160578880. Its totient is φ = 18501120.

The previous prime is 61830499. The next prime is 61830539. The reversal of 61830516 is 61503816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 140625 + ... + 141063.

Almost surely, 261830516 is an apocalyptic number.

61830516 is a gapful number since it is divisible by the number (66) 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 61830516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80289440).

61830516 is an abundant number, since it is smaller than the sum of its proper divisors (98748364).

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

61830516 is a wasteful number, since it uses less digits than its factorization.

61830516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 61830516 is about 7863.2382642268. The cubic root of 61830516 is about 395.4281870612.

The spelling of 61830516 in words is "sixty-one million, eight hundred thirty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 121 132 194 242 291 363 388 439 484 582 726 878 1067 1164 1317 1452 1756 2134 2634 3201 4268 4829 5268 6402 9658 11737 12804 14487 19316 23474 28974 35211 42583 46948 53119 57948 70422 85166 106238 127749 140844 159357 170332 212476 255498 318714 468413 510996 637428 936826 1405239 1873652 2810478 5152543 5620956 10305086 15457629 20610172 30915258 61830516