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66960336 = 2434767443
BaseRepresentation
bin1111111101101…
…1101111010000
311122222221022110
43333123233100
5114120212321
610351105320
71442103432
oct377335720
9148887273
1066960336
1134885323
121a512240
1310b46101
148c70652
155d2a176
hex3fdbbd0

66960336 has 80 divisors (see below), whose sum is σ = 179702784. Its totient is φ = 21470592.

The previous prime is 66960319. The next prime is 66960349. The reversal of 66960336 is 63306966.

It is a junction number, because it is equal to n+sod(n) for n = 66960294 and 66960303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150931 + ... + 151373.

Almost surely, 266960336 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 66960336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89851392).

66960336 is an abundant number, since it is smaller than the sum of its proper divisors (112742448).

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

66960336 is a wasteful number, since it uses less digits than its factorization.

66960336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 39.

The square root of 66960336 is about 8182.9295487619. The cubic root of 66960336 is about 406.0746463410.

The spelling of 66960336 in words is "sixty-six million, nine hundred sixty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 67 94 134 141 188 201 268 282 376 402 443 536 564 752 804 886 1072 1128 1329 1608 1772 2256 2658 3149 3216 3544 5316 6298 7088 9447 10632 12596 18894 20821 21264 25192 29681 37788 41642 50384 59362 62463 75576 83284 89043 118724 124926 151152 166568 178086 237448 249852 333136 356172 474896 499704 712344 999408 1395007 1424688 2790014 4185021 5580028 8370042 11160056 16740084 22320112 33480168 66960336