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123420240 = 2433557139
BaseRepresentation
bin1110101101100…
…11111001010000
322121020101202000
413112303321100
5223043421430
620125154000
73026024526
oct726637120
9277211660
10123420240
11637384a9
12353bb900
131c753938
141256a316
15ac7de60
hex75b3e50

123420240 has 80 divisors (see below), whose sum is σ = 425121600. Its totient is φ = 32911488.

The previous prime is 123420233. The next prime is 123420247. The reversal of 123420240 is 42024321.

123420240 is a `hidden beast` number, since 1 + 2 + 3 + 420 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (123420233) and next prime (123420247).

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 (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123420247) 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, 26410 + ... + 30729.

It is an arithmetic number, because the mean of its divisors is an integer number (5314020).

Almost surely, 2123420240 is an apocalyptic number.

123420240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123420240 is an abundant number, since it is smaller than the sum of its proper divisors (301701360).

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

123420240 is a wasteful number, since it uses less digits than its factorization.

123420240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57161 (or 57149 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 123420240 is about 11109.4662338026. The cubic root of 123420240 is about 497.8847171095.

Adding to 123420240 its reverse (42024321), we get a palindrome (165444561).

The spelling of 123420240 in words is "one hundred twenty-three million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 57139 114278 171417 228556 285695 342834 457112 514251 571390 685668 857085 914224 1028502 1142780 1371336 1542753 1714170 2057004 2285560 2571255 2742672 3085506 3428340 4114008 4571120 5142510 6171012 6856680 7713765 8228016 10285020 12342024 13713360 15427530 20570040 24684048 30855060 41140080 61710120 123420240