Search a number
-
+
61015020 = 223511193479
BaseRepresentation
bin1110100011000…
…0001111101100
311020210212212120
43220300033230
5111104440040
610015432540
71340422233
oct350601754
9136725776
1061015020
1131494540
1218525750
13c843c81
148163b1a
1555537d0
hex3a303ec

61015020 has 96 divisors (see below), whose sum is σ = 187729920. Its totient is φ = 14684160.

The previous prime is 61015013. The next prime is 61015049. The reversal of 61015020 is 2051016.

61015020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 127141 + ... + 127619.

It is an arithmetic number, because the mean of its divisors is an integer number (1955520).

Almost surely, 261015020 is an apocalyptic number.

61015020 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 61015020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93864960).

61015020 is an abundant number, since it is smaller than the sum of its proper divisors (126714900).

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

61015020 is a wasteful number, since it uses less digits than its factorization.

61015020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 61015020 is about 7811.2111736913. The cubic root of 61015020 is about 393.6820250509.

Adding to 61015020 its reverse (2051016), we get a palindrome (63066036).

The spelling of 61015020 in words is "sixty-one million, fifteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 193 220 330 386 479 579 660 772 958 965 1158 1437 1916 1930 2123 2316 2395 2874 2895 3860 4246 4790 5269 5748 5790 6369 7185 8492 9580 10538 10615 11580 12738 14370 15807 21076 21230 25476 26345 28740 31614 31845 42460 52690 63228 63690 79035 92447 105380 127380 158070 184894 277341 316140 369788 462235 554682 924470 1016917 1109364 1386705 1848940 2033834 2773410 3050751 4067668 5084585 5546820 6101502 10169170 12203004 15253755 20338340 30507510 61015020