Search a number
-
+
67680696 = 23337199383
BaseRepresentation
bin1000000100010…
…11100110111000
311201100112110110
410002023212320
5114311240241
610414344320
71451163546
oct402134670
9151315413
1067680696
1135227566
121a7bb0a0
1311038c65
148dbad96
155e1d816
hex408b9b8

67680696 has 64 divisors (see below), whose sum is σ = 175104000. Its totient is φ = 21783168.

The previous prime is 67680671. The next prime is 67680703. The reversal of 67680696 is 69608676.

It is a happy number.

It is a super-2 number, since 2×676806962 = 9161353222088832, which contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176521 + ... + 176903.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 267680696 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 67680696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87552000).

67680696 is an abundant number, since it is smaller than the sum of its proper divisors (107423304).

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

67680696 is a wasteful number, since it uses less digits than its factorization.

67680696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 628 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 67680696 is about 8226.8278212200. The cubic root of 67680696 is about 407.5256405510.

The spelling of 67680696 in words is "sixty-seven million, six hundred eighty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 24 37 74 111 148 199 222 296 383 398 444 597 766 796 888 1149 1194 1532 1592 2298 2388 3064 4596 4776 7363 9192 14171 14726 22089 28342 29452 42513 44178 56684 58904 76217 85026 88356 113368 152434 170052 176712 228651 304868 340104 457302 609736 914604 1829208 2820029 5640058 8460087 11280116 16920174 22560232 33840348 67680696