Search a number
-
+
26700102 = 232112132341
BaseRepresentation
bin110010111011…
…0100101000110
31212020111122200
41211312211012
523313400402
62352135330
7442642602
oct145664506
955214580
1026700102
1114087200
128b37546
1356baca0
143790502
15252621c
hex1976946

26700102 has 144 divisors (see below), whose sum is σ = 73198944. Its totient is φ = 6969600.

The previous prime is 26700101. The next prime is 26700131. The reversal of 26700102 is 20100762.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (26700101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 651202 + ... + 651242.

It is an arithmetic number, because the mean of its divisors is an integer number (508326).

Almost surely, 226700102 is an apocalyptic number.

26700102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 26700102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36599472).

26700102 is an abundant number, since it is smaller than the sum of its proper divisors (46498842).

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

26700102 is a wasteful number, since it uses less digits than its factorization.

26700102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 26700102 is about 5167.2141430368. The cubic root of 26700102 is about 298.8851286720.

Adding to 26700102 its reverse (20100762), we get a palindrome (46800864).

The spelling of 26700102 in words is "twenty-six million, seven hundred thousand, one hundred two".

Divisors: 1 2 3 6 9 11 13 18 22 23 26 33 39 41 46 66 69 78 82 99 117 121 123 138 143 198 207 234 242 246 253 286 299 363 369 414 429 451 506 533 598 726 738 759 858 897 902 943 1066 1089 1287 1353 1518 1573 1599 1794 1886 2178 2277 2574 2691 2706 2783 2829 3146 3198 3289 4059 4554 4719 4797 4961 5382 5566 5658 5863 6578 8118 8349 8487 9438 9594 9867 9922 10373 11726 12259 14157 14883 16698 16974 17589 19734 20746 24518 25047 28314 29601 29766 31119 35178 36179 36777 44649 50094 52767 59202 62238 64493 72358 73554 89298 93357 105534 108537 110331 114103 128986 134849 186714 193479 217074 220662 228206 269698 325611 342309 386958 404547 580437 651222 684618 809094 1026927 1160874 1213641 1483339 2053854 2427282 2966678 4450017 8900034 13350051 26700102