Search a number
-
+
61820604 = 22331947641
BaseRepresentation
bin1110101111010…
…0111010111100
311022022210221000
43223310322330
5111311224404
610045010300
71350315666
oct353647274
9138283830
1061820604
113199480a
1218853990
13ca66851
1482d3536
155662339
hex3af4ebc

61820604 has 96 divisors (see below), whose sum is σ = 172569600. Its totient is φ = 19077120.

The previous prime is 61820593. The next prime is 61820609. The reversal of 61820604 is 40602816.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61820609) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 96124 + ... + 96764.

It is an arithmetic number, because the mean of its divisors is an integer number (1797600).

Almost surely, 261820604 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61820604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86284800).

61820604 is an abundant number, since it is smaller than the sum of its proper divisors (110748996).

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

61820604 is a wasteful number, since it uses less digits than its factorization.

61820604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 61820604 is about 7862.6079642826. The cubic root of 61820604 is about 395.4070556744.

The spelling of 61820604 in words is "sixty-one million, eight hundred twenty thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 47 54 57 76 94 108 114 141 171 188 228 282 342 423 513 564 641 684 846 893 1026 1269 1282 1692 1786 1923 2052 2538 2564 2679 3572 3846 5076 5358 5769 7692 8037 10716 11538 12179 16074 17307 23076 24111 24358 30127 32148 34614 36537 48222 48716 60254 69228 73074 90381 96444 109611 120508 146148 180762 219222 271143 328833 361524 438444 542286 572413 657666 813429 1084572 1144826 1315332 1626858 1717239 2289652 3253716 3434478 5151717 6868956 10303434 15455151 20606868 30910302 61820604