Search a number
-
+
36804068 = 22731109389
BaseRepresentation
bin1000110001100…
…1010111100100
32120020211200122
42030121113210
533410212233
63352501112
7624554330
oct214312744
976224618
1036804068
1119858494
12103aa798
137817c72
144c607c0
15336ed98
hex23195e4

36804068 has 48 divisors (see below), whose sum is σ = 76876800. Its totient is φ = 15085440.

The previous prime is 36804067. The next prime is 36804073. The reversal of 36804068 is 86040863.

It is not an unprimeable number, because it can be changed into a prime (36804067) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 94418 + ... + 94806.

It is an arithmetic number, because the mean of its divisors is an integer number (1601600).

Almost surely, 236804068 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 36804068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38438400).

36804068 is an abundant number, since it is smaller than the sum of its proper divisors (40072732).

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

36804068 is a wasteful number, since it uses less digits than its factorization.

36804068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 36804068 is about 6066.6356409463. The cubic root of 36804068 is about 332.6329556663.

The spelling of 36804068 in words is "thirty-six million, eight hundred four thousand, sixty-eight".

Divisors: 1 2 4 7 14 28 31 62 109 124 217 218 389 434 436 763 778 868 1526 1556 2723 3052 3379 5446 6758 10892 12059 13516 23653 24118 42401 47306 48236 84413 84802 94612 168826 169604 296807 337652 593614 1187228 1314431 2628862 5257724 9201017 18402034 36804068