Search a number
-
+
68773632 = 283149601
BaseRepresentation
bin1000001100101…
…10011100000000
311210102001200120
410012112130000
5120101224012
610454020240
71463365134
oct406263400
9153361616
1068773632
1135903714
121b047680
131132c575
1491c33c4
15608758c
hex4196700

68773632 has 72 divisors (see below), whose sum is σ = 184573200. Its totient is φ = 22732800.

The previous prime is 68773631. The next prime is 68773633. The reversal of 68773632 is 23637786.

It is an interprime number because it is at equal distance from previous prime (68773631) and next prime (68773633).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68773631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 114132 + ... + 114732.

Almost surely, 268773632 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 68773632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92286600).

68773632 is an abundant number, since it is smaller than the sum of its proper divisors (115799568).

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

68773632 is a wasteful number, since it uses less digits than its factorization.

68773632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 755 counting only the distinct ones).

The product of its digits is 254016, while the sum is 42.

The square root of 68773632 is about 8292.9869166664. The cubic root of 68773632 is about 409.7075685905.

The spelling of 68773632 in words is "sixty-eight million, seven hundred seventy-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 256 298 384 447 596 601 768 894 1192 1202 1788 1803 2384 2404 3576 3606 4768 4808 7152 7212 9536 9616 14304 14424 19072 19232 28608 28848 38144 38464 57216 57696 76928 89549 114432 115392 153856 179098 230784 268647 358196 461568 537294 716392 1074588 1432784 2149176 2865568 4298352 5731136 8596704 11462272 17193408 22924544 34386816 68773632