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126853740 = 2232513232357
BaseRepresentation
bin1111000111110…
…10001001101100
322211200211121200
413203322021230
5224433304430
620330525500
73100144656
oct743721154
9284624550
10126853740
1165673102
1236596890
13203866b0
1412bc16d6
15b20b460
hex78fa26c

126853740 has 144 divisors (see below), whose sum is σ = 432589248. Its totient is φ = 29855232.

The previous prime is 126853733. The next prime is 126853757. The reversal of 126853740 is 47358621.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 126853695 and 126853704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52642 + ... + 54998.

It is an arithmetic number, because the mean of its divisors is an integer number (3004092).

Almost surely, 2126853740 is an apocalyptic number.

126853740 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 126853740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216294624).

126853740 is an abundant number, since it is smaller than the sum of its proper divisors (305735508).

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

126853740 is a wasteful number, since it uses less digits than its factorization.

126853740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2403 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 126853740 is about 11262.9365620161. The cubic root of 126853740 is about 502.4595348718.

The spelling of 126853740 in words is "one hundred twenty-six million, eight hundred fifty-three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 23 26 30 36 39 45 46 52 60 65 69 78 90 92 115 117 130 138 156 180 195 207 230 234 260 276 299 345 390 414 460 468 585 598 690 780 828 897 1035 1170 1196 1380 1495 1794 2070 2340 2357 2691 2990 3588 4140 4485 4714 5382 5980 7071 8970 9428 10764 11785 13455 14142 17940 21213 23570 26910 28284 30641 35355 42426 47140 53820 54211 61282 70710 84852 91923 106065 108422 122564 141420 153205 162633 183846 212130 216844 271055 275769 306410 325266 367692 424260 459615 487899 542110 551538 612820 650532 704743 813165 919230 975798 1084220 1103076 1378845 1409486 1626330 1838460 1951596 2114229 2439495 2757690 2818972 3252660 3523715 4228458 4878990 5515380 6342687 7047430 8456916 9757980 10571145 12685374 14094860 21142290 25370748 31713435 42284580 63426870 126853740