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66260376 = 23337133371
BaseRepresentation
bin1111110011000…
…0110110011000
311121200101011000
43330300312120
5113430313001
610324105000
71433126640
oct374606630
9147611130
1066260376
1134447446
121a235160
131095c630
148b2b520
155c3ca86
hex3f30d98

66260376 has 128 divisors (see below), whose sum is σ = 226598400. Its totient is φ = 17470080.

The previous prime is 66260351. The next prime is 66260399. The reversal of 66260376 is 67306266.

It is a super-2 number, since 2×662603762 = 8780874855322752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66260376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17971 + ... + 21341.

It is an arithmetic number, because the mean of its divisors is an integer number (1770300).

Almost surely, 266260376 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 66260376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113299200).

66260376 is an abundant number, since it is smaller than the sum of its proper divisors (160338024).

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

66260376 is a wasteful number, since it uses less digits than its factorization.

66260376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3406 (or 3396 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 66260376 is about 8140.0476657081. The cubic root of 66260376 is about 404.6547400452.

The spelling of 66260376 in words is "sixty-six million, two hundred sixty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1092 1404 1512 1638 2184 2457 2808 3276 3371 4914 6552 6742 9828 10113 13484 19656 20226 23597 26968 30339 40452 43823 47194 60678 70791 80904 87646 91017 94388 121356 131469 141582 175292 182034 188776 212373 242712 262938 283164 306761 350584 364068 394407 424746 525876 566328 613522 637119 728136 788814 849492 920283 1051752 1183221 1227044 1274238 1577628 1698984 1840566 2366442 2454088 2548476 2760849 3155256 3681132 4732884 5096952 5521698 7362264 8282547 9465768 11043396 16565094 22086792 33130188 66260376