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67730364 = 223313192539
BaseRepresentation
bin1000000100101…
…11101110111100
311201110001121000
410002113232330
5114314332424
610415410300
71451461422
oct402275674
9151401530
1067730364
1135260909
121a823990
1311055750
148dd1112
155e2d3c9
hex4097bbc

67730364 has 96 divisors (see below), whose sum is σ = 199136000. Its totient is φ = 19735488.

The previous prime is 67730359. The next prime is 67730389. The reversal of 67730364 is 46303776.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25407 + ... + 27945.

Almost surely, 267730364 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 67730364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99568000).

67730364 is an abundant number, since it is smaller than the sum of its proper divisors (131405636).

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

67730364 is a wasteful number, since it uses less digits than its factorization.

67730364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2584 (or 2576 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 36.

The square root of 67730364 is about 8229.8459280840. The cubic root of 67730364 is about 407.6253047852.

It can be divided in two parts, 6773036 and 4, that added together give a triangular number (6773040 = T3680).

The spelling of 67730364 in words is "sixty-seven million, seven hundred thirty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2539 2964 4446 5078 6669 7617 8892 10156 13338 15234 22851 26676 30468 33007 45702 48241 66014 68553 91404 96482 99021 132028 137106 144723 192964 198042 274212 289446 297063 396084 434169 578892 594126 627133 868338 891189 1188252 1254266 1302507 1736676 1782378 1881399 2508532 2605014 3564756 3762798 5210028 5644197 7525596 11288394 16932591 22576788 33865182 67730364