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61311104 = 272983199
BaseRepresentation
bin1110100111100…
…0100010000000
311021100221000122
43221320202000
5111143423404
610030035412
71343064401
oct351704200
9137327018
1061311104
1131676a38
1218648b68
13c91897a
1481dd9a8
1555b13be
hex3a78880

61311104 has 64 divisors (see below), whose sum is σ = 128520000. Its totient is φ = 29094912.

The previous prime is 61311091. The next prime is 61311137. The reversal of 61311104 is 40111316.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 307997 + ... + 308195.

It is an arithmetic number, because the mean of its divisors is an integer number (2008125).

Almost surely, 261311104 is an apocalyptic number.

61311104 is a gapful number since it is divisible by the number (64) 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 61311104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64260000).

61311104 is an abundant number, since it is smaller than the sum of its proper divisors (67208896).

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

61311104 is a wasteful number, since it uses less digits than its factorization.

61311104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 61311104 is about 7830.1407394759. The cubic root of 61311104 is about 394.3177969713.

The spelling of 61311104 in words is "sixty-one million, three hundred eleven thousand, one hundred four".

Divisors: 1 2 4 8 16 29 32 58 64 83 116 128 166 199 232 332 398 464 664 796 928 1328 1592 1856 2407 2656 3184 3712 4814 5312 5771 6368 9628 10624 11542 12736 16517 19256 23084 25472 33034 38512 46168 66068 77024 92336 132136 154048 184672 264272 308096 369344 478993 528544 738688 957986 1057088 1915972 2114176 3831944 7663888 15327776 30655552 61311104