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102260664 = 233311193223
BaseRepresentation
bin1100001100001…
…01111110111000
321010102101021000
412012011332320
5202134320124
614051445000
72351126022
oct606057670
9233371230
10102260664
11527a5a50
122a2b6760
131825578c
14d81d012
158e9e6c9
hex6185fb8

102260664 has 128 divisors (see below), whose sum is σ = 312883200. Its totient is φ = 30689280.

The previous prime is 102260659. The next prime is 102260689. The reversal of 102260664 is 466062201.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

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, 458457 + ... + 458679.

It is an arithmetic number, because the mean of its divisors is an integer number (2444400).

Almost surely, 2102260664 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 102260664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156441600).

102260664 is an abundant number, since it is smaller than the sum of its proper divisors (210622536).

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

102260664 is a wasteful number, since it uses less digits than its factorization.

102260664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 102260664 is about 10112.4014951939. The cubic root of 102260664 is about 467.6305433909.

The spelling of 102260664 in words is "one hundred two million, two hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 193 198 216 223 264 297 386 396 446 579 594 669 772 792 892 1158 1188 1338 1544 1737 1784 2007 2123 2316 2376 2453 2676 3474 4014 4246 4632 4906 5211 5352 6021 6369 6948 7359 8028 8492 9812 10422 12042 12738 13896 14718 16056 16984 19107 19624 20844 22077 24084 25476 29436 38214 41688 43039 44154 48168 50952 57321 58872 66231 76428 86078 88308 114642 129117 132462 152856 172156 176616 229284 258234 264924 344312 387351 458568 473429 516468 529848 774702 946858 1032936 1162053 1420287 1549404 1893716 2324106 2840574 3098808 3787432 4260861 4648212 5681148 8521722 9296424 11362296 12782583 17043444 25565166 34086888 51130332 102260664