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61212016 = 2423414057
BaseRepresentation
bin1110100110000…
…0010101110000
311021011220002201
43221200111300
5111132241031
610023552544
71342202455
oct351402560
9137156081
1061212016
1131609548
12185bb754
13c8b2838
1481b582c
155591d61
hex3a60570

61212016 has 40 divisors (see below), whose sum is σ = 126804384. Its totient is φ = 28554240.

The previous prime is 61212007. The next prime is 61212017. The reversal of 61212016 is 61021216.

It is a junction number, because it is equal to n+sod(n) for n = 61211984 and 61212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61212017) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 13060 + ... + 17116.

Almost surely, 261212016 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 61212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63402192).

61212016 is an abundant number, since it is smaller than the sum of its proper divisors (65592368).

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

61212016 is a wasteful number, since it uses less digits than its factorization.

61212016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The square root of 61212016 is about 7823.8108361591. The cubic root of 61212016 is about 394.1052567349.

The spelling of 61212016 in words is "sixty-one million, two hundred twelve thousand, sixteen".

Divisors: 1 2 4 8 16 23 41 46 82 92 164 184 328 368 656 943 1886 3772 4057 7544 8114 15088 16228 32456 64912 93311 166337 186622 332674 373244 665348 746488 1330696 1492976 2661392 3825751 7651502 15303004 30606008 61212016