Search a number
-
+
67900644 = 223272111277
BaseRepresentation
bin1000000110000…
…01010011100100
311201202201011200
410003001103210
5114340310034
610423202500
71453101030
oct403012344
9151681150
1067900644
1135367839
121a8a6430
13110b50c6
1490371c0
155e63a99
hex40c14e4

67900644 has 72 divisors (see below), whose sum is σ = 197241408. Its totient is φ = 19293120.

The previous prime is 67900631. The next prime is 67900667. The reversal of 67900644 is 44600976.

67900644 is a `hidden beast` number, since 6 + 7 + 9 + 0 + 0 + 644 = 666.

It is a super-2 number, since 2×679006442 = 9220994911229472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 67900599 and 67900608.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52534 + ... + 53810.

It is an arithmetic number, because the mean of its divisors is an integer number (2739464).

Almost surely, 267900644 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 67900644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98620704).

67900644 is an abundant number, since it is smaller than the sum of its proper divisors (129340764).

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

67900644 is a wasteful number, since it uses less digits than its factorization.

67900644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 67900644 is about 8240.1847066677. The cubic root of 67900644 is about 407.9666206833.

The spelling of 67900644 in words is "sixty-seven million, nine hundred thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 211 252 422 633 844 1266 1277 1477 1899 2532 2554 2954 3798 3831 4431 5108 5908 7596 7662 8862 8939 11493 13293 15324 17724 17878 22986 26586 26817 35756 45972 53172 53634 80451 107268 160902 269447 321804 538894 808341 1077788 1616682 1886129 2425023 3233364 3772258 4850046 5658387 7544516 9700092 11316774 16975161 22633548 33950322 67900644