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126863964 = 223267149353
BaseRepresentation
bin1111000111111…
…00101001011100
322211201100122100
413203330221130
5224434121324
620331045100
73100216533
oct743745134
9284640570
10126863964
116567a857
12365a0790
132038b246
1412bc531a
15b20e4c9
hex78fca5c

126863964 has 72 divisors (see below), whose sum is σ = 328582800. Its totient is φ = 41260032.

The previous prime is 126863903. The next prime is 126863977. The reversal of 126863964 is 469368621.

126863964 is a `hidden beast` number, since 1 + 2 + 6 + 8 + 639 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 359212 + ... + 359564.

It is an arithmetic number, because the mean of its divisors is an integer number (4563650).

Almost surely, 2126863964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126863964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164291400).

126863964 is an abundant number, since it is smaller than the sum of its proper divisors (201718836).

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

126863964 is a wasteful number, since it uses less digits than its factorization.

126863964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579 (or 574 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 126863964 is about 11263.3904309493. The cubic root of 126863964 is about 502.4730333787.

The spelling of 126863964 in words is "one hundred twenty-six million, eight hundred sixty-three thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 67 134 149 201 268 298 353 402 447 596 603 706 804 894 1059 1206 1341 1412 1788 2118 2412 2682 3177 4236 5364 6354 9983 12708 19966 23651 29949 39932 47302 52597 59898 70953 89847 94604 105194 119796 141906 157791 179694 210388 212859 283812 315582 359388 425718 473373 631164 851436 946746 1893492 3523999 7047998 10571997 14095996 21143994 31715991 42287988 63431982 126863964