Search a number
-
+
66136640 = 2653159113
BaseRepresentation
bin1111110001001…
…0101001000000
311121110002102012
43330102221000
5113412333030
610321312052
71432103123
oct374225100
9147402365
1066136640
1134372489
121a195628
131091820b
148ad83ba
155c16095
hex3f12a40

66136640 has 112 divisors (see below), whose sum is σ = 166786560. Its totient is φ = 24944640.

The previous prime is 66136621. The next prime is 66136657. The reversal of 66136640 is 4663166.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66136597 and 66136606.

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, 585224 + ... + 585336.

Almost surely, 266136640 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 66136640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83393280).

66136640 is an abundant number, since it is smaller than the sum of its proper divisors (100649920).

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

66136640 is a wasteful number, since it uses less digits than its factorization.

66136640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 66136640 is about 8132.4436671888. The cubic root of 66136640 is about 404.4026962055.

The spelling of 66136640 in words is "sixty-six million, one hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 59 62 64 80 113 118 124 155 160 226 236 248 295 310 320 452 472 496 565 590 620 904 944 992 1130 1180 1240 1808 1829 1888 1984 2260 2360 2480 3503 3616 3658 3776 4520 4720 4960 6667 7006 7232 7316 9040 9145 9440 9920 13334 14012 14632 17515 18080 18290 18880 26668 28024 29264 33335 35030 36160 36580 53336 56048 58528 66670 70060 73160 106672 112096 117056 133340 140120 146320 206677 213344 224192 266680 280240 292640 413354 426688 533360 560480 585280 826708 1033385 1066720 1120960 1653416 2066770 2133440 3306832 4133540 6613664 8267080 13227328 16534160 33068320 66136640