Search a number
-
+
61076224 = 281123241
BaseRepresentation
bin1110100011111…
…1001100000000
311020220222211101
43220333030000
5111113414344
610021024144
71341065536
oct350771400
9136828741
1061076224
1131526520
1218555054
13c865aa1
14817c156
1555669d4
hex3a3f300

61076224 has 108 divisors (see below), whose sum is σ = 142421832. Its totient is φ = 25907200.

The previous prime is 61076221. The next prime is 61076237. The reversal of 61076224 is 42267016.

It is a junction number, because it is equal to n+sod(n) for n = 61076192 and 61076201.

It is not an unprimeable number, because it can be changed into a prime (61076221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1489644 + ... + 1489684.

Almost surely, 261076224 is an apocalyptic number.

61076224 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 61076224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71210916).

61076224 is an abundant number, since it is smaller than the sum of its proper divisors (81345608).

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

61076224 is a wasteful number, since it uses less digits than its factorization.

61076224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 61076224 is about 7815.1278940271. The cubic root of 61076224 is about 393.8136148498.

The spelling of 61076224 in words is "sixty-one million, seventy-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 23 32 41 44 46 64 82 88 92 128 164 176 184 253 256 328 352 368 451 506 529 656 704 736 902 943 1012 1058 1312 1408 1472 1804 1886 2024 2116 2624 2816 2944 3608 3772 4048 4232 5248 5819 5888 7216 7544 8096 8464 10373 10496 11638 14432 15088 16192 16928 20746 21689 23276 28864 30176 32384 33856 41492 43378 46552 57728 60352 64768 67712 82984 86756 93104 115456 120704 135424 165968 173512 186208 238579 241408 331936 347024 372416 477158 663872 694048 744832 954316 1327744 1388096 1489664 1908632 2655488 2776192 3817264 5552384 7634528 15269056 30538112 61076224