Search a number
-
+
61080264 = 23337229199
BaseRepresentation
bin1110100100000…
…0001011001000
311020221012101000
43221000023020
5111114032024
610021055000
71341113400
oct351001310
9136835330
1061080264
1131529563
1218557460
13c86788b
14817d800
155567cc9
hex3a402c8

61080264 has 192 divisors, whose sum is σ = 205200000. Its totient is φ = 16765056.

The previous prime is 61080263. The next prime is 61080277. The reversal of 61080264 is 46208016.

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

It is not an unprimeable number, because it can be changed into a prime (61080263) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 306837 + ... + 307035.

It is an arithmetic number, because the mean of its divisors is an integer number (1068750).

Almost surely, 261080264 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 61080264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102600000).

61080264 is an abundant number, since it is smaller than the sum of its proper divisors (144119736).

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

61080264 is a wasteful number, since it uses less digits than its factorization.

61080264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 240 counting only the distinct ones).

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

The square root of 61080264 is about 7815.3863628102. The cubic root of 61080264 is about 393.8222978354.

The spelling of 61080264 in words is "sixty-one million, eighty thousand, two hundred sixty-four".