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126434740 = 225193110733
BaseRepresentation
bin1111000100100…
…11110110110100
322210220112212011
413202103312310
5224331402430
620313534004
73063451255
oct742236664
9283815764
10126434740
1165407323
1236414304
132026aa73
1412b12b2c
15b17722a
hex7893db4

126434740 has 48 divisors (see below), whose sum is σ = 288529920. Its totient is φ = 46362240.

The previous prime is 126434719. The next prime is 126434743. The reversal of 126434740 is 47434621.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126434743) 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, 6414 + ... + 17146.

It is an arithmetic number, because the mean of its divisors is an integer number (6011040).

Almost surely, 2126434740 is an apocalyptic number.

126434740 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 126434740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144264960).

126434740 is an abundant number, since it is smaller than the sum of its proper divisors (162095180).

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

126434740 is a wasteful number, since it uses less digits than its factorization.

126434740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10792 (or 10790 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 126434740 is about 11244.3203440670. The cubic root of 126434740 is about 501.9057139473.

The spelling of 126434740 in words is "one hundred twenty-six million, four hundred thirty-four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5890 10733 11780 21466 42932 53665 107330 203927 214660 332723 407854 665446 815708 1019635 1330892 1663615 2039270 3327230 4078540 6321737 6654460 12643474 25286948 31608685 63217370 126434740