Search a number
-
+
126623040 = 2635131899
BaseRepresentation
bin1111000110000…
…01110101000000
322211021010011020
413203001311000
5224403414130
620321545440
73065164245
oct743016500
9284233136
10126623040
1165525845
12364a5280
132030569b
1412b615cc
15b1b2e10
hex78c1d40

126623040 has 56 divisors (see below), whose sum is σ = 402031200. Its totient is φ = 33765888.

The previous prime is 126623039. The next prime is 126623053. The reversal of 126623040 is 40326621.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 126623040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 64990 + ... + 66909.

Almost surely, 2126623040 is an apocalyptic number.

126623040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126623040 is an abundant number, since it is smaller than the sum of its proper divisors (275408160).

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

126623040 is a wasteful number, since it uses less digits than its factorization.

126623040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131919 (or 131909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 126623040 is about 11252.6903449797. The cubic root of 126623040 is about 502.1547540639.

Adding to 126623040 its reverse (40326621), we get a palindrome (166949661).

The spelling of 126623040 in words is "one hundred twenty-six million, six hundred twenty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 131899 263798 395697 527596 659495 791394 1055192 1318990 1582788 1978485 2110384 2637980 3165576 3956970 4220768 5275960 6331152 7913940 8441536 10551920 12662304 15827880 21103840 25324608 31655760 42207680 63311520 126623040