Search a number
-
+
61022160 = 243554373
BaseRepresentation
bin1110100011000…
…1111111010000
311020211020200000
43220301333100
5111110202120
610015530000
71340452113
oct350617720
9136736600
1061022160
1131499941
1218529900
13c8472b4
14816657a
155555990
hex3a31fd0

61022160 has 240 divisors, whose sum is σ = 220444224. Its totient is φ = 15676416.

The previous prime is 61022153. The next prime is 61022173. The reversal of 61022160 is 6122016.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×610221602 = 7447408022131200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 835884 + ... + 835956.

Almost surely, 261022160 is an apocalyptic number.

61022160 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 61022160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110222112).

61022160 is an abundant number, since it is smaller than the sum of its proper divisors (159422064).

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

61022160 is a wasteful number, since it uses less digits than its factorization.

61022160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

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

The square root of 61022160 is about 7811.6681957185. The cubic root of 61022160 is about 393.6973807236.

Subtracting from 61022160 its product of nonzero digits (144), we obtain a palindrome (61022016).

Adding to 61022160 its reverse (6122016), we get a palindrome (67144176).

The spelling of 61022160 in words is "sixty-one million, twenty-two thousand, one hundred sixty".