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126610220 = 225111797349
BaseRepresentation
bin1111000101111…
…10101100101100
322211020110120102
413202332230230
5224403011340
620321410232
73065112002
oct742765454
9284213512
10126610220
1165517150
1236499978
13202cc8b9
1412b5aa72
15b1ae215
hex78beb2c

126610220 has 96 divisors (see below), whose sum is σ = 311169600. Its totient is φ = 42762240.

The previous prime is 126610213. The next prime is 126610273. The reversal of 126610220 is 22016621.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 126610192 and 126610201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362606 + ... + 362954.

It is an arithmetic number, because the mean of its divisors is an integer number (3241350).

Almost surely, 2126610220 is an apocalyptic number.

126610220 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 126610220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155584800).

126610220 is an abundant number, since it is smaller than the sum of its proper divisors (184559380).

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

126610220 is a wasteful number, since it uses less digits than its factorization.

126610220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 126610220 is about 11252.1206890079. The cubic root of 126610220 is about 502.1378065394.

Adding to 126610220 its reverse (22016621), we get a palindrome (148626841).

The spelling of 126610220 in words is "one hundred twenty-six million, six hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 97 110 170 187 194 220 340 349 374 388 485 698 748 935 970 1067 1396 1649 1745 1870 1940 2134 3298 3490 3740 3839 4268 5335 5933 6596 6980 7678 8245 10670 11866 15356 16490 18139 19195 21340 23732 29665 32980 33853 36278 38390 59330 65263 67706 72556 76780 90695 118660 130526 135412 169265 181390 261052 326315 338530 362780 372383 575501 652630 677060 744766 1151002 1305260 1489532 1861915 2302004 2877505 3723830 5755010 6330511 7447660 11510020 12661022 25322044 31652555 63305110 126610220