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126983934 = 23271128329
BaseRepresentation
bin1111001000110…
…01111011111110
322211221110012200
413210121323332
5230001441214
620333412330
73101226360
oct744317376
9284843180
10126983934
1165751a00
123663a0a6
1320400a2c
1412c16d30
15b234d09
hex7919efe

126983934 has 72 divisors (see below), whose sum is σ = 345661680. Its totient is φ = 32978880.

The previous prime is 126983917. The next prime is 126983939. The reversal of 126983934 is 439389621.

It is a happy number.

It is a super-2 number, since 2×1269839342 = 32249838988232712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126983934.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126983939) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11082 + ... + 19410.

Almost surely, 2126983934 is an apocalyptic number.

126983934 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126983934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172830840).

126983934 is an abundant number, since it is smaller than the sum of its proper divisors (218677746).

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

126983934 is a wasteful number, since it uses less digits than its factorization.

126983934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8366 (or 8352 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 126983934 is about 11268.7148335558. The cubic root of 126983934 is about 502.6313727945.

The spelling of 126983934 in words is "one hundred twenty-six million, nine hundred eighty-three thousand, nine hundred thirty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 693 726 847 1089 1386 1694 2178 2541 5082 7623 8329 15246 16658 24987 49974 58303 74961 91619 116606 149922 174909 183238 274857 349818 524727 549714 641333 824571 1007809 1049454 1282666 1649142 1923999 2015618 3023427 3847998 5771997 6046854 7054663 9070281 11543994 14109326 18140562 21163989 42327978 63491967 126983934