Search a number
-
+
123121460 = 225711312579
BaseRepresentation
bin1110101011010…
…10111100110100
322120200012220002
413111222330310
5223004341320
620114530432
73023341460
oct725527464
9276605802
10123121460
1163553a80
1235296a18
131c67a947
14124cd4a0
15ac20675
hex756af34

123121460 has 96 divisors (see below), whose sum is σ = 332881920. Its totient is φ = 37123200.

The previous prime is 123121457. The next prime is 123121477. The reversal of 123121460 is 64121321.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 46451 + ... + 49029.

It is an arithmetic number, because the mean of its divisors is an integer number (3467520).

Almost surely, 2123121460 is an apocalyptic number.

123121460 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 123121460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166440960).

123121460 is an abundant number, since it is smaller than the sum of its proper divisors (209760460).

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

123121460 is a wasteful number, since it uses less digits than its factorization.

123121460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2637 (or 2635 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 123121460 is about 11096.0109949477. The cubic root of 123121460 is about 497.4826269364.

Adding to 123121460 its reverse (64121321), we get a palindrome (187242781).

The spelling of 123121460 in words is "one hundred twenty-three million, one hundred twenty-one thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 31 35 44 55 62 70 77 110 124 140 154 155 217 220 308 310 341 385 434 620 682 770 868 1085 1364 1540 1705 2170 2387 2579 3410 4340 4774 5158 6820 9548 10316 11935 12895 18053 23870 25790 28369 36106 47740 51580 56738 72212 79949 90265 113476 141845 159898 180530 198583 283690 319796 361060 397166 399745 559643 567380 794332 799490 879439 992915 1119286 1598980 1758878 1985830 2238572 2798215 3517756 3971660 4397195 5596430 6156073 8794390 11192860 12312146 17588780 24624292 30780365 61560730 123121460