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102066594 = 23719236783
BaseRepresentation
bin1100001010101…
…10100110100010
321010001112001020
412011112212202
5202112112334
614043350310
72346360150
oct605264642
9233045036
10102066594
1152683163
122a222396
13181b8346
14d7ac3d0
158e61e49
hex61569a2

102066594 has 128 divisors (see below), whose sum is σ = 263208960. Its totient is φ = 25717824.

The previous prime is 102066593. The next prime is 102066599. The reversal of 102066594 is 495660201.

It is a super-2 number, since 2×1020665942 = 20835179221521672, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102066593) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1229677 + ... + 1229759.

It is an arithmetic number, because the mean of its divisors is an integer number (2056320).

Almost surely, 2102066594 is an apocalyptic number.

102066594 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102066594, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131604480).

102066594 is an abundant number, since it is smaller than the sum of its proper divisors (161142366).

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

102066594 is a wasteful number, since it uses less digits than its factorization.

102066594 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 102066594 is about 10102.8012946905. The cubic root of 102066594 is about 467.3345334137.

The spelling of 102066594 in words is "one hundred two million, sixty-six thousand, five hundred ninety-four".

Divisors: 1 2 3 6 7 14 19 21 23 38 42 46 57 67 69 83 114 133 134 138 161 166 201 249 266 322 399 402 437 469 483 498 581 798 874 938 966 1162 1273 1311 1407 1541 1577 1743 1909 2546 2622 2814 3059 3082 3154 3486 3818 3819 4623 4731 5561 5727 6118 7638 8911 9177 9246 9462 10787 11039 11122 11454 13363 16683 17822 18354 21574 22078 26726 26733 29279 32361 33117 33366 36271 38927 40089 53466 58558 64722 66234 72542 77854 80178 87837 105659 108813 116781 127903 175674 204953 211318 217626 233562 253897 255806 316977 383709 409906 507794 614859 633954 739613 761691 767418 895321 1229718 1479226 1523382 1790642 2218839 2430157 2685963 4437678 4860314 5371926 7290471 14580942 17011099 34022198 51033297 102066594