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126650440 = 23573831181
BaseRepresentation
bin1111000110010…
…00100001001000
322211022111202001
413203020201020
5224410303230
620322320344
73065340160
oct743104110
9284274661
10126650440
1165544394
12364b90b4
1320314cb7
1412b6b5a0
15b1bb0ca
hex78c8848

126650440 has 64 divisors (see below), whose sum is σ = 326799360. Its totient is φ = 43272960.

The previous prime is 126650431. The next prime is 126650449. The reversal of 126650440 is 44056621.

It is an interprime number because it is at equal distance from previous prime (126650431) and next prime (126650449).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 126650399 and 126650408.

It is not an unprimeable number, because it can be changed into a prime (126650449) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106650 + ... + 107830.

It is an arithmetic number, because the mean of its divisors is an integer number (5106240).

Almost surely, 2126650440 is an apocalyptic number.

126650440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126650440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163399680).

126650440 is an abundant number, since it is smaller than the sum of its proper divisors (200148920).

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

126650440 is a wasteful number, since it uses less digits than its factorization.

126650440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1582 (or 1578 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 126650440 is about 11253.9077657496. The cubic root of 126650440 is about 502.1909719274.

The spelling of 126650440 in words is "one hundred twenty-six million, six hundred fifty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 383 766 1181 1532 1915 2362 2681 3064 3830 4724 5362 5905 7660 8267 9448 10724 11810 13405 15320 16534 21448 23620 26810 33068 41335 47240 53620 66136 82670 107240 165340 330680 452323 904646 1809292 2261615 3166261 3618584 4523230 6332522 9046460 12665044 15831305 18092920 25330088 31662610 63325220 126650440