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61868736 = 2632372903
BaseRepresentation
bin1110110000000…
…0101011000000
311022102020221200
43230000223000
5111314244421
610050021200
71350606216
oct354005300
9138366850
1061868736
1131a17996
1218877800
13ca82727
148306cb6
155671726
hex3b00ac0

61868736 has 84 divisors (see below), whose sum is σ = 182191152. Its totient is φ = 20058624.

The previous prime is 61868711. The next prime is 61868747. The reversal of 61868736 is 63786816.

It is a junction number, because it is equal to n+sod(n) for n = 61868691 and 61868700.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19861 + ... + 22763.

Almost surely, 261868736 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 61868736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91095576).

61868736 is an abundant number, since it is smaller than the sum of its proper divisors (120322416).

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

61868736 is a wasteful number, since it uses less digits than its factorization.

61868736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2958 (or 2945 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 61868736 is about 7865.6681852211. The cubic root of 61868736 is about 395.5096471196.

The spelling of 61868736 in words is "sixty-one million, eight hundred sixty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 144 148 192 222 288 296 333 444 576 592 666 888 1184 1332 1776 2368 2664 2903 3552 5328 5806 7104 8709 10656 11612 17418 21312 23224 26127 34836 46448 52254 69672 92896 104508 107411 139344 185792 209016 214822 278688 322233 418032 429644 557376 644466 836064 859288 966699 1288932 1672128 1718576 1933398 2577864 3437152 3866796 5155728 6874304 7733592 10311456 15467184 20622912 30934368 61868736