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126214740 = 22335474973
BaseRepresentation
bin1111000010111…
…10001001010100
322210111101002000
413201132021110
5224302332430
620305115300
73061544001
oct741361124
9283441060
10126214740
1165277003
1236328b30
13201c18a2
1412a968a8
15b131e60
hex785e254

126214740 has 96 divisors (see below), whose sum is σ = 401103360. Its totient is φ = 32934528.

The previous prime is 126214729. The next prime is 126214763. The reversal of 126214740 is 47412621.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22894 + ... + 27866.

It is an arithmetic number, because the mean of its divisors is an integer number (4178160).

Almost surely, 2126214740 is an apocalyptic number.

126214740 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 126214740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200551680).

126214740 is an abundant number, since it is smaller than the sum of its proper divisors (274888620).

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

126214740 is a wasteful number, since it uses less digits than its factorization.

126214740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5030 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 126214740 is about 11234.5333681466. The cubic root of 126214740 is about 501.6144349226.

The spelling of 126214740 in words is "one hundred twenty-six million, two hundred fourteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 47 54 60 90 94 108 135 141 180 188 235 270 282 423 470 540 564 705 846 940 1269 1410 1692 2115 2538 2820 4230 4973 5076 6345 8460 9946 12690 14919 19892 24865 25380 29838 44757 49730 59676 74595 89514 99460 134271 149190 179028 223785 233731 268542 298380 447570 467462 537084 671355 701193 895140 934924 1168655 1342710 1402386 2103579 2337310 2685420 2804772 3505965 4207158 4674620 6310737 7011930 8414316 10517895 12621474 14023860 21035790 25242948 31553685 42071580 63107370 126214740