Search a number
-
+
126410240 = 29511672
BaseRepresentation
bin1111000100011…
…01111000000000
322210212022020202
413202031320000
5224330111430
620313224332
73063316655
oct742157000
9283768222
10126410240
116539a980
12364020a8
132025c878
1412b07c2c
15b16ed45
hex788de00

126410240 has 120 divisors (see below), whose sum is σ = 335650392. Its totient is φ = 45281280.

The previous prime is 126410237. The next prime is 126410269. The reversal of 126410240 is 42014621.

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

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 11 ways as a sum of consecutive naturals, for example, 1886687 + ... + 1886753.

Almost surely, 2126410240 is an apocalyptic number.

126410240 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 126410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167825196).

126410240 is an abundant number, since it is smaller than the sum of its proper divisors (209240152).

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

126410240 is an frugal number, since it uses more digits than its factorization.

126410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 126410240 is about 11243.2308523840. The cubic root of 126410240 is about 501.8732927832.

Adding to 126410240 its reverse (42014621), we get a palindrome (168424861).

The spelling of 126410240 in words is "one hundred twenty-six million, four hundred ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 67 80 88 110 128 134 160 176 220 256 268 320 335 352 440 512 536 640 670 704 737 880 1072 1280 1340 1408 1474 1760 2144 2560 2680 2816 2948 3520 3685 4288 4489 5360 5632 5896 7040 7370 8576 8978 10720 11792 14080 14740 17152 17956 21440 22445 23584 28160 29480 34304 35912 42880 44890 47168 49379 58960 71824 85760 89780 94336 98758 117920 143648 171520 179560 188672 197516 235840 246895 287296 359120 377344 395032 471680 493790 574592 718240 790064 943360 987580 1149184 1436480 1580128 1886720 1975160 2298368 2872960 3160256 3950320 5745920 6320512 7900640 11491840 12641024 15801280 25282048 31602560 63205120 126410240