Search a number
-
+
12423000 = 2335341101
BaseRepresentation
bin101111011000…
…111101011000
3212101011011010
4233120331120
511140014000
61122133520
7210410442
oct57307530
925334133
1012423000
117015647
1241b12a0
13275c6b5
141915492
151155d50
hexbd8f58

12423000 has 128 divisors (see below), whose sum is σ = 40098240. Its totient is φ = 3200000.

The previous prime is 12422999. The next prime is 12423011. The reversal of 12423000 is 32421.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 122950 + ... + 123050.

Almost surely, 212423000 is an apocalyptic number.

12423000 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 12423000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20049120).

12423000 is an abundant number, since it is smaller than the sum of its proper divisors (27675240).

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

12423000 is a wasteful number, since it uses less digits than its factorization.

12423000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 12423000 is about 3524.6276399075. The cubic root of 12423000 is about 231.6019233765.

Adding to 12423000 its reverse (32421), we get a palindrome (12455421).

The spelling of 12423000 in words is "twelve million, four hundred twenty-three thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 41 50 60 75 82 100 101 120 123 125 150 164 200 202 205 246 250 300 303 328 375 404 410 492 500 505 600 606 615 750 808 820 984 1000 1010 1025 1212 1230 1500 1515 1640 2020 2050 2424 2460 2525 3000 3030 3075 4040 4100 4141 4920 5050 5125 6060 6150 7575 8200 8282 10100 10250 12120 12300 12423 12625 15150 15375 16564 20200 20500 20705 24600 24846 25250 30300 30750 33128 37875 41000 41410 49692 50500 60600 61500 62115 75750 82820 99384 101000 103525 123000 124230 151500 165640 207050 248460 303000 310575 414100 496920 517625 621150 828200 1035250 1242300 1552875 2070500 2484600 3105750 4141000 6211500 12423000