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61023960 = 23325337503
BaseRepresentation
bin1110100011001…
…0011011011000
311020211100010200
43220302123120
5111110231320
610015542200
71340460264
oct350623330
9136740120
1061023960
11314a0228
121852a960
13c84806a
1481670a4
155556290
hex3a326d8

61023960 has 96 divisors (see below), whose sum is σ = 199311840. Its totient is φ = 16192512.

The previous prime is 61023959. The next prime is 61023979. The reversal of 61023960 is 6932016.

It is a happy number.

61023960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 121069 + ... + 121571.

It is an arithmetic number, because the mean of its divisors is an integer number (2076165).

Almost surely, 261023960 is an apocalyptic number.

61023960 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 61023960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99655920).

61023960 is an abundant number, since it is smaller than the sum of its proper divisors (138287880).

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

61023960 is a wasteful number, since it uses less digits than its factorization.

61023960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 61023960 is about 7811.7834071357. The cubic root of 61023960 is about 393.7012517125.

Subtracting from 61023960 its product of nonzero digits (1944), we obtain a palindrome (61022016).

Adding to 61023960 its reverse (6932016), we get a palindrome (67955976).

The spelling of 61023960 in words is "sixty-one million, twenty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 337 360 503 674 1006 1011 1348 1509 1685 2012 2022 2515 2696 3018 3033 3370 4024 4044 4527 5030 5055 6036 6066 6740 7545 8088 9054 10060 10110 12072 12132 13480 15090 15165 18108 20120 20220 22635 24264 30180 30330 36216 40440 45270 60360 60660 90540 121320 169511 181080 339022 508533 678044 847555 1017066 1356088 1525599 1695110 2034132 2542665 3051198 3390220 4068264 5085330 6102396 6780440 7627995 10170660 12204792 15255990 20341320 30511980 61023960