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126881720 = 23572631723
BaseRepresentation
bin1111001000000…
…00111110111000
322211202020222222
413210000332320
5224440203340
620331303212
73100322360
oct744007670
9284666888
10126881720
1165692129
12365aab08
1320396354
1412bcb9a0
15b2148b5
hex7900fb8

126881720 has 64 divisors (see below), whose sum is σ = 327697920. Its totient is φ = 43311744.

The previous prime is 126881707. The next prime is 126881743. The reversal of 126881720 is 27188621.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 72779 + ... + 74501.

It is an arithmetic number, because the mean of its divisors is an integer number (5120280).

Almost surely, 2126881720 is an apocalyptic number.

126881720 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 126881720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163848960).

126881720 is an abundant number, since it is smaller than the sum of its proper divisors (200816200).

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

126881720 is a wasteful number, since it uses less digits than its factorization.

126881720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 2000 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 35.

The square root of 126881720 is about 11264.1786207428. The cubic root of 126881720 is about 502.4964744850.

The spelling of 126881720 in words is "one hundred twenty-six million, eight hundred eighty-one thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 263 280 526 1052 1315 1723 1841 2104 2630 3446 3682 5260 6892 7364 8615 9205 10520 12061 13784 14728 17230 18410 24122 34460 36820 48244 60305 68920 73640 96488 120610 241220 453149 482440 906298 1812596 2265745 3172043 3625192 4531490 6344086 9062980 12688172 15860215 18125960 25376344 31720430 63440860 126881720