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66102784 = 2911397
BaseRepresentation
bin1111110000101…
…0011000000000
311121101100222021
43330022120000
5113410242114
610320451224
71431602326
oct374123000
9147340867
1066102784
113434a000
121a179b14
1310905997
148ac9d16
155c0b024
hex3f0a600

66102784 has 80 divisors (see below), whose sum is σ = 146771856. Its totient is φ = 29736960.

The previous prime is 66102763. The next prime is 66102787. The reversal of 66102784 is 48720166.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66102787) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 681424 + ... + 681520.

Almost surely, 266102784 is an apocalyptic number.

66102784 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66102784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73385928).

66102784 is an abundant number, since it is smaller than the sum of its proper divisors (80669072).

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

66102784 is an frugal number, since it uses more digits than its factorization.

66102784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 66102784 is about 8130.3618615656. The cubic root of 66102784 is about 404.3336785142. Note that the first 3 decimals are identical.

The spelling of 66102784 in words is "sixty-six million, one hundred two thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 97 121 128 176 194 242 256 352 388 484 512 704 776 968 1067 1331 1408 1552 1936 2134 2662 2816 3104 3872 4268 5324 5632 6208 7744 8536 10648 11737 12416 15488 17072 21296 23474 24832 30976 34144 42592 46948 49664 61952 68288 85184 93896 129107 136576 170368 187792 258214 273152 340736 375584 516428 546304 681472 751168 1032856 1502336 2065712 3004672 4131424 6009344 8262848 16525696 33051392 66102784