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126852930 = 232519312393
BaseRepresentation
bin1111000111110…
…01111101000010
322211200210111200
413203321331002
5224433243210
620330522030
73100142421
oct743717502
9284623450
10126852930
1165672536
1236596316
1320386209
1412bc12b8
15b20b0c0
hex78f9f42

126852930 has 96 divisors (see below), whose sum is σ = 358525440. Its totient is φ = 31000320.

The previous prime is 126852919. The next prime is 126852937. The reversal of 126852930 is 39258621.

126852930 is a `hidden beast` number, since 126 + 8 + 529 + 3 + 0 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (126852937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51814 + ... + 54206.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2126852930 is an apocalyptic number.

126852930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 126852930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179262720).

126852930 is an abundant number, since it is smaller than the sum of its proper divisors (231672510).

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

126852930 is a wasteful number, since it uses less digits than its factorization.

126852930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2456 (or 2453 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 126852930 is about 11262.9006033082. The cubic root of 126852930 is about 502.4584654168.

The spelling of 126852930 in words is "one hundred twenty-six million, eight hundred fifty-two thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 31 38 45 57 62 90 93 95 114 155 171 186 190 279 285 310 342 465 558 570 589 855 930 1178 1395 1710 1767 2393 2790 2945 3534 4786 5301 5890 7179 8835 10602 11965 14358 17670 21537 23930 26505 35895 43074 45467 53010 71790 74183 90934 107685 136401 148366 215370 222549 227335 272802 370915 409203 445098 454670 667647 682005 741830 818406 1112745 1335294 1364010 1409477 2046015 2225490 2818954 3338235 4092030 4228431 6676470 7047385 8456862 12685293 14094770 21142155 25370586 42284310 63426465 126852930