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61014096 = 243211132963
BaseRepresentation
bin1110100011000…
…0000001010000
311020210211121100
43220300001100
5111104422341
610015424400
71340416443
oct350600120
9136724540
1061014096
1131493880
1218525100
13c843720
14816365a
1555533b6
hex3a30050

61014096 has 120 divisors (see below), whose sum is σ = 200674656. Its totient is φ = 17061120.

The previous prime is 61014089. The next prime is 61014097. The reversal of 61014096 is 69041016.

61014096 is a `hidden beast` number, since 610 + 1 + 40 + 9 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61014097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19111 + ... + 22073.

Almost surely, 261014096 is an apocalyptic number.

61014096 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 61014096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100337328).

61014096 is an abundant number, since it is smaller than the sum of its proper divisors (139660560).

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

61014096 is a wasteful number, since it uses less digits than its factorization.

61014096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3001 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 61014096 is about 7811.1520277101. The cubic root of 61014096 is about 393.6800377587.

It can be divided in two parts, 610 and 14096, that added together give a triangular number (14706 = T171).

The spelling of 61014096 in words is "sixty-one million, fourteen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 66 72 78 88 99 104 117 132 143 144 156 176 198 208 234 264 286 312 396 429 468 528 572 624 792 858 936 1144 1287 1584 1716 1872 2288 2574 2963 3432 5148 5926 6864 8889 10296 11852 17778 20592 23704 26667 32593 35556 38519 47408 53334 65186 71112 77038 97779 106668 115557 130372 142224 154076 195558 213336 231114 260744 293337 308152 346671 391116 423709 426672 462228 521488 586674 616304 693342 782232 847418 924456 1173348 1271127 1386684 1564464 1694836 1848912 2346696 2542254 2773368 3389672 3813381 4693392 5084508 5546736 6779344 7626762 10169016 15253524 20338032 30507048 61014096