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67764340 = 22571573083
BaseRepresentation
bin1000000101000…
…00000001110100
311201111210012101
410002200001310
5114321424330
610420231444
71451662450
oct402400164
9151453171
1067764340
1135284396
121a83b584
1311068057
148ddd660
155e384ca
hex40a0074

67764340 has 48 divisors (see below), whose sum is σ = 163723392. Its totient is φ = 23078016.

The previous prime is 67764313. The next prime is 67764341. The reversal of 67764340 is 4346776.

It is a self number, because there is not a number n which added to its sum of digits gives 67764340.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67764341) 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 15 ways as a sum of consecutive naturals, for example, 20439 + ... + 23521.

It is an arithmetic number, because the mean of its divisors is an integer number (3410904).

Almost surely, 267764340 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 67764340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81861696).

67764340 is an abundant number, since it is smaller than the sum of its proper divisors (95959052).

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

67764340 is a wasteful number, since it uses less digits than its factorization.

67764340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3254 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 37.

The square root of 67764340 is about 8231.9098634521. The cubic root of 67764340 is about 407.6934532560.

The spelling of 67764340 in words is "sixty-seven million, seven hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 157 314 628 785 1099 1570 2198 3083 3140 4396 5495 6166 10990 12332 15415 21581 21980 30830 43162 61660 86324 107905 215810 431620 484031 968062 1936124 2420155 3388217 4840310 6776434 9680620 13552868 16941085 33882170 67764340