Search a number
-
+
66374720 = 265316691
BaseRepresentation
bin1111110100110…
…0110001000000
311121220011222222
43331030301000
5113442442340
610330350212
71434114206
oct375146100
9147804888
1066374720
1134515345
121a28b368
131099c6a9
148b5b076
155c618b5
hex3f4cc40

66374720 has 56 divisors (see below), whose sum is σ = 163177728. Its totient is φ = 25689600.

The previous prime is 66374713. The next prime is 66374743. The reversal of 66374720 is 2747366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6575 + ... + 13265.

It is an arithmetic number, because the mean of its divisors is an integer number (2913888).

Almost surely, 266374720 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 66374720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81588864).

66374720 is an abundant number, since it is smaller than the sum of its proper divisors (96803008).

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

66374720 is a wasteful number, since it uses less digits than its factorization.

66374720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6739 (or 6729 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 35.

The square root of 66374720 is about 8147.0681843225. The cubic root of 66374720 is about 404.8873740581.

The spelling of 66374720 in words is "sixty-six million, three hundred seventy-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 6691 9920 13382 26764 33455 53528 66910 107056 133820 207421 214112 267640 414842 428224 535280 829684 1037105 1070560 1659368 2074210 2141120 3318736 4148420 6637472 8296840 13274944 16593680 33187360 66374720