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126765420 = 22352397947
BaseRepresentation
bin1111000111001…
…00100101101100
322211112100110120
413203210211230
5224422443140
620325004540
73066326325
oct743444554
9284470416
10126765420
1165612811
1236553750
1320355432
1412b9b44c
15b1e01d0
hex78e496c

126765420 has 96 divisors (see below), whose sum is σ = 374588928. Its totient is φ = 31967232.

The previous prime is 126765391. The next prime is 126765421. The reversal of 126765420 is 24567621.

It is not an unprimeable number, because it can be changed into a prime (126765421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133387 + ... + 134333.

It is an arithmetic number, because the mean of its divisors is an integer number (3901968).

Almost surely, 2126765420 is an apocalyptic number.

126765420 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 126765420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187294464).

126765420 is an abundant number, since it is smaller than the sum of its proper divisors (247823508).

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

126765420 is a wasteful number, since it uses less digits than its factorization.

126765420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 126765420 is about 11259.0150546129. The cubic root of 126765420 is about 502.3428978453.

The spelling of 126765420 in words is "one hundred twenty-six million, seven hundred sixty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 97 115 138 194 230 276 291 345 388 460 485 582 690 947 970 1164 1380 1455 1894 1940 2231 2841 2910 3788 4462 4735 5682 5820 6693 8924 9470 11155 11364 13386 14205 18940 21781 22310 26772 28410 33465 43562 44620 56820 65343 66930 87124 91859 108905 130686 133860 183718 217810 261372 275577 326715 367436 435620 459295 551154 653430 918590 1102308 1306860 1377885 1837180 2112757 2755770 4225514 5511540 6338271 8451028 10563785 12676542 21127570 25353084 31691355 42255140 63382710 126765420