Search a number
-
+
61169136 = 2437307593
BaseRepresentation
bin1110100101010…
…1110111110000
311021002201021120
43221111313300
5111124403021
610023022240
71341633450
oct351256760
9137081246
1061169136
113158a306
121859a980
13c899172
1481a3d60
1555842c6
hex3a55df0

61169136 has 80 divisors (see below), whose sum is σ = 181488384. Its totient is φ = 17390592.

The previous prime is 61169099. The next prime is 61169159. The reversal of 61169136 is 63196116.

It is a junction number, because it is equal to n+sod(n) for n = 61169097 and 61169106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102856 + ... + 103448.

Almost surely, 261169136 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 61169136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90744192).

61169136 is an abundant number, since it is smaller than the sum of its proper divisors (120319248).

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

61169136 is a wasteful number, since it uses less digits than its factorization.

61169136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its digits is 5832, while the sum is 33.

The square root of 61169136 is about 7821.0700035225. The cubic root of 61169136 is about 394.0132095514.

The spelling of 61169136 in words is "sixty-one million, one hundred sixty-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 307 336 593 614 921 1186 1228 1779 1842 2149 2372 2456 3558 3684 4151 4298 4744 4912 6447 7116 7368 8302 8596 9488 12453 12894 14232 14736 16604 17192 24906 25788 28464 33208 34384 49812 51576 66416 99624 103152 182051 199248 364102 546153 728204 1092306 1274357 1456408 2184612 2548714 2912816 3823071 4369224 5097428 7646142 8738448 10194856 15292284 20389712 30584568 61169136