Search a number
-
+
126230265 = 3357223599
BaseRepresentation
bin1111000011000…
…01111011111001
322210112011101000
413201201323321
5224303332030
620305315213
73061640160
oct741417371
9283464330
10126230265
1165287737
1236335b09
13201c8985
1412a9c3d7
15b136860
hex7861ef9

126230265 has 64 divisors (see below), whose sum is σ = 258048000. Its totient is φ = 57350592.

The previous prime is 126230249. The next prime is 126230303. The reversal of 126230265 is 562032621.

126230265 is a `hidden beast` number, since 12 + 623 + 0 + 26 + 5 = 666.

It is not a de Polignac number, because 126230265 - 24 = 126230249 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 210436 + ... + 211034.

It is an arithmetic number, because the mean of its divisors is an integer number (4032000).

Almost surely, 2126230265 is an apocalyptic number.

126230265 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

126230265 is an abundant number, since it is smaller than the sum of its proper divisors (131817735).

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

126230265 is a wasteful number, since it uses less digits than its factorization.

126230265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 126230265 is about 11235.2242968265. The cubic root of 126230265 is about 501.6350010488.

Adding to 126230265 its reverse (562032621), we get a palindrome (688262886).

The spelling of 126230265 in words is "one hundred twenty-six million, two hundred thirty thousand, two hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 223 315 599 669 945 1115 1561 1797 2007 2995 3345 4193 4683 5391 6021 7805 8985 10035 12579 14049 16173 20965 23415 26955 30105 37737 42147 62895 70245 80865 113211 133577 188685 210735 400731 566055 667885 935039 1202193 2003655 2805117 3606579 4675195 6010965 8415351 14025585 18032895 25246053 42076755 126230265