Search a number
-
+
126649215 = 32571136551
BaseRepresentation
bin1111000110010…
…00001101111111
322211022110001200
413203020031333
5224410233330
620322310543
73065333460
oct743101577
9284273050
10126649215
1165543480
12364b8453
1320314584
1412b6ad67
15b1baa60
hex78c837f

126649215 has 48 divisors (see below), whose sum is σ = 273701376. Its totient is φ = 52632000.

The previous prime is 126649199. The next prime is 126649219. The reversal of 126649215 is 512946621.

126649215 is a `hidden beast` number, since 1 + 2 + 6 + 649 + 2 + 1 + 5 = 666.

It is not a de Polignac number, because 126649215 - 24 = 126649199 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 126649215.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126649219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14811 + ... + 21740.

It is an arithmetic number, because the mean of its divisors is an integer number (5702112).

Almost surely, 2126649215 is an apocalyptic number.

126649215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

126649215 is an abundant number, since it is smaller than the sum of its proper divisors (147052161).

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

126649215 is a wasteful number, since it uses less digits than its factorization.

126649215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36580 (or 36577 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 126649215 is about 11253.8533400787. The cubic root of 126649215 is about 502.1893528097.

The spelling of 126649215 in words is "one hundred twenty-six million, six hundred forty-nine thousand, two hundred fifteen".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 36551 109653 182755 255857 328959 402061 548265 767571 1206183 1279285 1644795 2010305 2302713 2814427 3618549 3837855 6030915 8443281 11513565 14072135 18092745 25329843 42216405 126649215