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61410060 = 223253111097
BaseRepresentation
bin1110101001000…
…0101100001100
311021112221202200
43222100230030
5111210110220
610032121500
71343656035
oct352205414
9137487680
1061410060
1131734318
1218696290
13c951a1a
148227a8c
1555d0890
hex3a90b0c

61410060 has 72 divisors (see below), whose sum is σ = 187046496. Its totient is φ = 16308480.

The previous prime is 61410053. The next prime is 61410127. The reversal of 61410060 is 6001416.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55432 + ... + 56528.

It is an arithmetic number, because the mean of its divisors is an integer number (2597868).

Almost surely, 261410060 is an apocalyptic number.

61410060 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 61410060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93523248).

61410060 is an abundant number, since it is smaller than the sum of its proper divisors (125636436).

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

61410060 is a wasteful number, since it uses less digits than its factorization.

61410060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 61410060 is about 7836.4571076476. The cubic root of 61410060 is about 394.5298256544.

Adding to 61410060 its reverse (6001416), we get a palindrome (67411476).

The spelling of 61410060 in words is "sixty-one million, four hundred ten thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 311 622 933 1097 1244 1555 1866 2194 2799 3110 3291 3732 4388 4665 5485 5598 6220 6582 9330 9873 10970 11196 13164 13995 16455 18660 19746 21940 27990 32910 39492 49365 55980 65820 98730 197460 341167 682334 1023501 1364668 1705835 2047002 3070503 3411670 4094004 5117505 6141006 6823340 10235010 12282012 15352515 20470020 30705030 61410060