Search a number
-
+
67870728 = 23323773349
BaseRepresentation
bin1000000101110…
…10000000001000
311201201012010200
410002322000020
5114333330403
610422412200
71452614562
oct402720010
9151635120
1067870728
1135347312
121a891060
13110a45c3
14902a332
155e59ca3
hex40ba008

67870728 has 96 divisors (see below), whose sum is σ = 191919000. Its totient is φ = 21648384.

The previous prime is 67870697. The next prime is 67870729. The reversal of 67870728 is 82707876.

It can be written as a sum of positive squares in 4 ways, for example, as 67864644 + 6084 = 8238^2 + 78^2 .

It is not an unprimeable number, because it can be changed into a prime (67870729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194298 + ... + 194646.

Almost surely, 267870728 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 67870728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95959500).

67870728 is an abundant number, since it is smaller than the sum of its proper divisors (124048272).

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

67870728 is a wasteful number, since it uses less digits than its factorization.

67870728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 45.

The square root of 67870728 is about 8238.3692561089. The cubic root of 67870728 is about 407.9066972346.

The spelling of 67870728 in words is "sixty-seven million, eight hundred seventy thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 73 74 111 146 148 219 222 292 296 333 349 438 444 584 657 666 698 876 888 1047 1314 1332 1396 1752 2094 2628 2664 2701 2792 3141 4188 5256 5402 6282 8103 8376 10804 12564 12913 16206 21608 24309 25128 25477 25826 32412 38739 48618 50954 51652 64824 76431 77478 97236 101908 103304 116217 152862 154956 194472 203816 229293 232434 305724 309912 458586 464868 611448 917172 929736 942649 1834344 1885298 2827947 3770596 5655894 7541192 8483841 11311788 16967682 22623576 33935364 67870728