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126994950 = 232522411171
BaseRepresentation
bin1111001000111…
…00101000000110
322211222000022200
413210130220012
5230002314300
620333535330
73101303445
oct744345006
9284860280
10126994950
116575a205
1236644546
1320405a54
1412c1ad5c
15b238200
hex791ca06

126994950 has 72 divisors (see below), whose sum is σ = 342901416. Its totient is φ = 33696000.

The previous prime is 126994939. The next prime is 126994957. The reversal of 126994950 is 59499621.

It is a super-2 number, since 2×1269949502 = 32255434651005000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 126994896 and 126994905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126994957) 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, 107865 + ... + 109035.

Almost surely, 2126994950 is an apocalyptic number.

126994950 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126994950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171450708).

126994950 is an abundant number, since it is smaller than the sum of its proper divisors (215906466).

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

126994950 is a wasteful number, since it uses less digits than its factorization.

126994950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430 (or 1422 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 126994950 is about 11269.2036098386. The cubic root of 126994950 is about 502.6459069877.

The spelling of 126994950 in words is "one hundred twenty-six million, nine hundred ninety-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 241 450 482 723 1171 1205 1446 2169 2342 2410 3513 3615 4338 5855 6025 7026 7230 10539 10845 11710 12050 17565 18075 21078 21690 29275 35130 36150 52695 54225 58550 87825 105390 108450 175650 263475 282211 526950 564422 846633 1411055 1693266 2539899 2822110 4233165 5079798 7055275 8466330 12699495 14110550 21165825 25398990 42331650 63497475 126994950