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126682864 = 24711312107
BaseRepresentation
bin1111000110100…
…00011011110000
322211101011012221
413203100123300
5224412322424
620323130424
73065533540
oct743203360
9284334187
10126682864
1165566790
1236513a14
1320326999
1412b79320
15b1c59e4
hex78d06f0

126682864 has 120 divisors (see below), whose sum is σ = 319158144. Its totient is φ = 47318400.

The previous prime is 126682849. The next prime is 126682877. The reversal of 126682864 is 468286621.

It is a self number, because there is not a number n which added to its sum of digits gives 126682864.

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 23 ways as a sum of consecutive naturals, for example, 1183899 + ... + 1184005.

Almost surely, 2126682864 is an apocalyptic number.

126682864 is a gapful number since it is divisible by the number (14) 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 126682864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159579072).

126682864 is an abundant number, since it is smaller than the sum of its proper divisors (192475280).

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

126682864 is a wasteful number, since it uses less digits than its factorization.

126682864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 158 counting only the distinct ones).

The product of its digits is 221184, while the sum is 43.

The square root of 126682864 is about 11255.3482398369. The cubic root of 126682864 is about 502.2338238663.

The spelling of 126682864 in words is "one hundred twenty-six million, six hundred eighty-two thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 31 44 56 62 77 88 107 112 124 154 176 214 217 248 308 341 428 434 496 616 682 749 856 868 961 1177 1232 1364 1498 1712 1736 1922 2354 2387 2728 2996 3317 3472 3844 4708 4774 5456 5992 6634 6727 7688 8239 9416 9548 10571 11984 13268 13454 15376 16478 18832 19096 21142 23219 26536 26908 32956 36487 38192 42284 46438 53072 53816 65912 72974 73997 84568 92876 102827 107632 131824 145948 147994 169136 185752 205654 255409 291896 295988 371504 411308 510818 583792 591976 719789 822616 1021636 1131097 1183952 1439578 1645232 2043272 2262194 2879156 4086544 4524388 5758312 7917679 9048776 11516624 15835358 18097552 31670716 63341432 126682864