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123084420 = 223517120671
BaseRepresentation
bin1110101011000…
…01111010000100
322120121100002020
413111201322010
5223002200140
620114043140
73023125464
oct725417204
9276540066
10123084420
1163529168
12352794b0
131c666b24
14124bdba4
15ac146d0
hex7561e84

123084420 has 48 divisors (see below), whose sum is σ = 364912128. Its totient is φ = 30891520.

The previous prime is 123084349. The next prime is 123084421. The reversal of 123084420 is 24480321.

It is not an unprimeable number, because it can be changed into a prime (123084421) 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 15 ways as a sum of consecutive naturals, for example, 59316 + ... + 61355.

It is an arithmetic number, because the mean of its divisors is an integer number (7602336).

Almost surely, 2123084420 is an apocalyptic number.

123084420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123084420 is an abundant number, since it is smaller than the sum of its proper divisors (241827708).

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

123084420 is a wasteful number, since it uses less digits than its factorization.

123084420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120700 (or 120698 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 123084420 is about 11094.3418011165. The cubic root of 123084420 is about 497.4327341864.

The spelling of 123084420 in words is "one hundred twenty-three million, eighty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 120671 241342 362013 482684 603355 724026 1206710 1448052 1810065 2051407 2413420 3620130 4102814 6154221 7240260 8205628 10257035 12308442 20514070 24616884 30771105 41028140 61542210 123084420