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126831348 = 223272691871
BaseRepresentation
bin1111000111101…
…00101011110100
322211122200220100
413203310223310
5224432100343
620330234100
73100022460
oct743645364
9284580810
10126831348
11656582a6
1236585930
1320379447
1412bb74a0
15b2049d3
hex78f4af4

126831348 has 72 divisors (see below), whose sum is σ = 367960320. Its totient is φ = 36083520.

The previous prime is 126831337. The next prime is 126831349. The reversal of 126831348 is 843138621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126831349) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66853 + ... + 68723.

It is an arithmetic number, because the mean of its divisors is an integer number (5110560).

Almost surely, 2126831348 is an apocalyptic number.

126831348 is a gapful number since it is divisible by the number (18) 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 126831348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183980160).

126831348 is an abundant number, since it is smaller than the sum of its proper divisors (241128972).

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

126831348 is a wasteful number, since it uses less digits than its factorization.

126831348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2152 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 126831348 is about 11261.9424612275. The cubic root of 126831348 is about 502.4299687064.

Adding to 126831348 its reverse (843138621), we get a palindrome (969969969).

The spelling of 126831348 in words is "one hundred twenty-six million, eight hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 269 538 807 1076 1614 1871 1883 2421 3228 3742 3766 4842 5613 5649 7484 7532 9684 11226 11298 13097 16839 16947 22452 22596 26194 33678 33894 39291 52388 67356 67788 78582 117873 157164 235746 471492 503299 1006598 1509897 2013196 3019794 3523093 4529691 6039588 7046186 9059382 10569279 14092372 18118764 21138558 31707837 42277116 63415674 126831348