Search a number
-
+
12275100 = 22325223593
BaseRepresentation
bin101110110100…
…110110011100
3212002122021100
4232310312130
511120300400
61115033100
7206223315
oct56646634
925078240
1012275100
116a24512
12413b790
13270a296
1418b760c
151127100
hexbb4d9c

12275100 has 108 divisors (see below), whose sum is σ = 40216176. Its totient is φ = 3125760.

The previous prime is 12275069. The next prime is 12275111. The reversal of 12275100 is 157221.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20404 + ... + 20996.

It is an arithmetic number, because the mean of its divisors is an integer number (372372).

Almost surely, 212275100 is an apocalyptic number.

12275100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12275100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20108088).

12275100 is an abundant number, since it is smaller than the sum of its proper divisors (27941076).

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

12275100 is a wasteful number, since it uses less digits than its factorization.

12275100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12275100 is about 3503.5838794012. The cubic root of 12275100 is about 230.6791520226.

The spelling of 12275100 in words is "twelve million, two hundred seventy-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 25 30 36 45 46 50 60 69 75 90 92 100 115 138 150 180 207 225 230 276 300 345 414 450 460 575 593 690 828 900 1035 1150 1186 1380 1725 1779 2070 2300 2372 2965 3450 3558 4140 5175 5337 5930 6900 7116 8895 10350 10674 11860 13639 14825 17790 20700 21348 26685 27278 29650 35580 40917 44475 53370 54556 59300 68195 81834 88950 106740 122751 133425 136390 163668 177900 204585 245502 266850 272780 340975 409170 491004 533700 613755 681950 818340 1022925 1227510 1363900 2045850 2455020 3068775 4091700 6137550 12275100