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66102738 = 23131276673
BaseRepresentation
bin1111110000101…
…0010111010010
311121101100220120
43330022113102
5113410241423
610320451110
71431602232
oct374122722
9147340816
1066102738
1134349a69
121a179a96
1310905960
148ac9cc2
155c0aee3
hex3f0a5d2

66102738 has 32 divisors (see below), whose sum is σ = 143517696. Its totient is φ = 20176128.

The previous prime is 66102737. The next prime is 66102761. The reversal of 66102738 is 83720166.

It is a junction number, because it is equal to n+sod(n) for n = 66102699 and 66102708.

It is not an unprimeable number, because it can be changed into a prime (66102737) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6570 + ... + 13242.

It is an arithmetic number, because the mean of its divisors is an integer number (4484928).

Almost surely, 266102738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66102738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71758848).

66102738 is an abundant number, since it is smaller than the sum of its proper divisors (77414958).

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

66102738 is a wasteful number, since it uses less digits than its factorization.

66102738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6818.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 66102738 is about 8130.3590326627. The cubic root of 66102738 is about 404.3335847242. Note that the first 3 decimals are identical.

The spelling of 66102738 in words is "sixty-six million, one hundred two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 13 26 39 78 127 254 381 762 1651 3302 4953 6673 9906 13346 20019 40038 86749 173498 260247 520494 847471 1694942 2542413 5084826 11017123 22034246 33051369 66102738