Search a number
-
+
126900216 = 23333131877
BaseRepresentation
bin1111001000001…
…01011111111000
322211210012101000
413210011133320
5224441301331
620331525000
73100430322
oct744053770
9284705330
10126900216
11656a5013
12365b9760
13203a18b1
1412bd4612
15b21a0e6
hex79057f8

126900216 has 64 divisors (see below), whose sum is σ = 353815200. Its totient is φ = 42142464.

The previous prime is 126900199. The next prime is 126900233. The reversal of 126900216 is 612009621.

It is an interprime number because it is at equal distance from previous prime (126900199) and next prime (126900233).

It is a super-2 number, since 2×1269002162 = 32207329641693312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 126900216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66670 + ... + 68546.

Almost surely, 2126900216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126900216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176907600).

126900216 is an abundant number, since it is smaller than the sum of its proper divisors (226914984).

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

126900216 is a wasteful number, since it uses less digits than its factorization.

126900216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 126900216 is about 11264.9996005326. Note that the first 3 decimals coincide. The cubic root of 126900216 is about 502.5208901986.

Adding to 126900216 its reverse (612009621), we get a palindrome (738909837).

The spelling of 126900216 in words is "one hundred twenty-six million, nine hundred thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 313 626 939 1252 1877 1878 2504 2817 3754 3756 5631 5634 7508 7512 8451 11262 11268 15016 16893 16902 22524 22536 33786 33804 45048 50679 67572 67608 101358 135144 202716 405432 587501 1175002 1762503 2350004 3525006 4700008 5287509 7050012 10575018 14100024 15862527 21150036 31725054 42300072 63450108 126900216