Search a number
-
+
126151080 = 23351195569
BaseRepresentation
bin1111000010011…
…10100110101000
322210101010202020
413201032212220
5224243313310
620303504440
73061160256
oct741164650
9283333666
10126151080
11652331a0
12362b8120
132019b913
1412a7b5d6
15b11d170
hex784e9a8

126151080 has 64 divisors (see below), whose sum is σ = 412862400. Its totient is φ = 30581760.

The previous prime is 126151061. The next prime is 126151097. The reversal of 126151080 is 80151621.

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 126151080.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46465 + ... + 49104.

It is an arithmetic number, because the mean of its divisors is an integer number (6450975).

Almost surely, 2126151080 is an apocalyptic number.

126151080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126151080 is an abundant number, since it is smaller than the sum of its proper divisors (286711320).

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

126151080 is a wasteful number, since it uses less digits than its factorization.

126151080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95594 (or 95590 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 126151080 is about 11231.6997823126. The cubic root of 126151080 is about 501.5300862294.

It can be divided in two parts, 12615 and 1080, that added together give a triangular number (13695 = T165).

The spelling of 126151080 in words is "one hundred twenty-six million, one hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 95569 191138 286707 382276 477845 573414 764552 955690 1051259 1146828 1433535 1911380 2102518 2293656 2867070 3153777 3822760 4205036 5256295 5734140 6307554 8410072 10512590 11468280 12615108 15768885 21025180 25230216 31537770 42050360 63075540 126151080