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61045116 = 223112937431
BaseRepresentation
bin1110100011011…
…1100101111100
311020212102011020
43220313211330
5111111420431
610020224140
71340606046
oct350674574
9136772136
1061045116
1131505110
121853b050
13c854892
148170a96
15555c696
hex3a3797c

61045116 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 17337600.

The previous prime is 61045111. The next prime is 61045121. The reversal of 61045116 is 61154016.

It is an interprime number because it is at equal distance from previous prime (61045111) and next prime (61045121).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61045111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141421 + ... + 141851.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 261045116 is an apocalyptic number.

61045116 is a gapful number since it is divisible by the number (66) 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 61045116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

61045116 is an abundant number, since it is smaller than the sum of its proper divisors (104428164).

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

61045116 is a wasteful number, since it uses less digits than its factorization.

61045116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 61045116 is about 7813.1373979983. The cubic root of 61045116 is about 393.7467430318.

Subtracting 61045116 from its reverse (61154016), we obtain a square (108900 = 3302).

The spelling of 61045116 in words is "sixty-one million, forty-five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 29 33 37 44 58 66 74 87 111 116 132 148 174 222 319 348 407 431 444 638 814 862 957 1073 1221 1276 1293 1628 1724 1914 2146 2442 2586 3219 3828 4292 4741 4884 5172 6438 9482 11803 12499 12876 14223 15947 18964 23606 24998 28446 31894 35409 37497 47212 47841 49996 56892 63788 70818 74994 95682 137489 141636 149988 175417 191364 274978 350834 412467 462463 526251 549956 701668 824934 924926 1052502 1387389 1649868 1849852 2105004 2774778 5087093 5549556 10174186 15261279 20348372 30522558 61045116