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75066102 = 235257601
BaseRepresentation
bin1000111100101…
…10101011110110
312020020202100000
410132112223312
5123204103402
611240532130
71601023416
oct436265366
9166222300
1075066102
1139411301
1221181046
1312723717
149d80646
1568cbc1c
hex4796af6

75066102 has 48 divisors (see below), whose sum is σ = 169605072. Its totient is φ = 24883200.

The previous prime is 75066077. The next prime is 75066107. The reversal of 75066102 is 20166057.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75066107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124602 + ... + 125202.

It is an arithmetic number, because the mean of its divisors is an integer number (3533439).

Almost surely, 275066102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75066102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84802536).

75066102 is an abundant number, since it is smaller than the sum of its proper divisors (94538970).

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

75066102 is a wasteful number, since it uses less digits than its factorization.

75066102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 875 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 75066102 is about 8664.0695980584. The cubic root of 75066102 is about 421.8401909057.

The spelling of 75066102 in words is "seventy-five million, sixty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 257 486 514 601 771 1202 1542 1803 2313 3606 4626 5409 6939 10818 13878 16227 20817 32454 41634 48681 62451 97362 124902 146043 154457 292086 308914 463371 926742 1390113 2780226 4170339 8340678 12511017 25022034 37533051 75066102