Search a number
-
+
123314240 = 265755051
BaseRepresentation
bin1110101100110…
…10000001000000
322121001000100002
413112122001000
5223032023430
620123015132
73025103510
oct726320100
9277030302
10123314240
11636758a5
123536a4a8
131c71760a
141253d840
15ac5c845
hex759a040

123314240 has 56 divisors (see below), whose sum is σ = 335596992. Its totient is φ = 42278400.

The previous prime is 123314203. The next prime is 123314251. The reversal of 123314240 is 42413321.

It is a tau number, because it is divible by the number of its divisors (56).

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25286 + ... + 29765.

Almost surely, 2123314240 is an apocalyptic number.

123314240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123314240 is an abundant number, since it is smaller than the sum of its proper divisors (212282752).

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

123314240 is an equidigital number, since it uses as much as digits as its factorization.

123314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55075 (or 55065 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 123314240 is about 11104.6945027767. The cubic root of 123314240 is about 497.7421394790.

Adding to 123314240 its reverse (42413321), we get a palindrome (165727561).

The spelling of 123314240 in words is "one hundred twenty-three million, three hundred fourteen thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 55051 110102 220204 275255 385357 440408 550510 770714 880816 1101020 1541428 1761632 1926785 2202040 3082856 3523264 3853570 4404080 6165712 7707140 8808160 12331424 15414280 17616320 24662848 30828560 61657120 123314240