[go: up one dir, main page]

Search a number
-
+
66979068 = 22313538101
BaseRepresentation
bin1111111110000…
…0010011111100
311200000220000020
43333200103330
5114121312233
610351332140
71442212152
oct377402374
9150026006
1066979068
1134898402
121a521050
1310b517b0
148c773d2
155d309b3
hex3fe04fc

66979068 has 48 divisors (see below), whose sum is σ = 171503136. Its totient is φ = 20217600.

The previous prime is 66979063. The next prime is 66979069. The reversal of 66979068 is 86097966.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 66979068.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66979063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4218 + ... + 12318.

It is an arithmetic number, because the mean of its divisors is an integer number (3572982).

Almost surely, 266979068 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 66979068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85751568).

66979068 is an abundant number, since it is smaller than the sum of its proper divisors (104524068).

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

66979068 is a wasteful number, since it uses less digits than its factorization.

66979068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174 (or 8172 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 51.

The square root of 66979068 is about 8184.0740465858. The cubic root of 66979068 is about 406.1125089600.

The spelling of 66979068 in words is "sixty-six million, nine hundred seventy-nine thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 106 156 159 212 318 636 689 1378 2067 2756 4134 8101 8268 16202 24303 32404 48606 97212 105313 210626 315939 421252 429353 631878 858706 1263756 1288059 1717412 2576118 5152236 5581589 11163178 16744767 22326356 33489534 66979068