Search a number
-
+
67973997 = 37132107179
BaseRepresentation
bin1000000110100…
…11001101101101
311201220102210110
410003103031231
5114400131442
610424530233
71453524630
oct403231555
9151812713
1067973997
1135407963
121a920979
131110c600
149055c17
155e7a69c
hex40d336d

67973997 has 48 divisors (see below), whose sum is σ = 113840640. Its totient is φ = 35320896.

The previous prime is 67973987. The next prime is 67974019. The reversal of 67973997 is 79937976.

It is not a de Polignac number, because 67973997 - 24 = 67973981 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67973987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379654 + ... + 379832.

It is an arithmetic number, because the mean of its divisors is an integer number (2371680).

Almost surely, 267973997 is an apocalyptic number.

It is an amenable number.

67973997 is a deficient number, since it is larger than the sum of its proper divisors (45866643).

67973997 is a wasteful number, since it uses less digits than its factorization.

67973997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 309 counting only the distinct ones).

The product of its digits is 4500846, while the sum is 57.

The square root of 67973997 is about 8244.6344370142. The cubic root of 67973997 is about 408.1134764618.

The spelling of 67973997 in words is "sixty-seven million, nine hundred seventy-three thousand, nine hundred ninety-seven".

Divisors: 1 3 7 13 21 39 91 107 169 179 273 321 507 537 749 1183 1253 1391 2247 2327 3549 3759 4173 6981 9737 16289 18083 19153 29211 30251 48867 54249 57459 90753 126581 134071 211757 248989 379743 402213 635271 746967 1742923 3236857 5228769 9710571 22657999 67973997