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123042000 = 2435320507
BaseRepresentation
bin1110101010101…
…11100011010000
322120112011220010
413111113203100
5222444321000
620113114520
73022561014
oct725274320
9276464803
10123042000
11634aa304
1235258a40
131c650723
14124ac544
15ac06d50
hex75578d0

123042000 has 80 divisors (see below), whose sum is σ = 396706752. Its totient is φ = 32809600.

The previous prime is 123041993. The next prime is 123042001. The reversal of 123042000 is 240321.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123042001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4254 + ... + 16253.

Almost surely, 2123042000 is an apocalyptic number.

123042000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123042000 is an abundant number, since it is smaller than the sum of its proper divisors (273664752).

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

123042000 is a wasteful number, since it uses less digits than its factorization.

123042000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20533 (or 20517 counting only the distinct ones).

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

The square root of 123042000 is about 11092.4298510290. The cubic root of 123042000 is about 497.3755822979.

Adding to 123042000 its reverse (240321), we get a palindrome (123282321).

The spelling of 123042000 in words is "one hundred twenty-three million, forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 20507 41014 61521 82028 102535 123042 164056 205070 246084 307605 328112 410140 492168 512675 615210 820280 984336 1025350 1230420 1538025 1640560 2050700 2460840 2563375 3076050 4101400 4921680 5126750 6152100 7690125 8202800 10253500 12304200 15380250 20507000 24608400 30760500 41014000 61521000 123042000