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126886720 = 2653112791
BaseRepresentation
bin1111001000000…
…10001101000000
322211202111212011
413210002031000
5224440333340
620331342304
73100343062
oct744021500
9284674764
10126886720
1165695964
12365b1994
13203986cc
1412bcd732
15b2160ea
hex7902340

126886720 has 56 divisors (see below), whose sum is σ = 311920128. Its totient is φ = 49113600.

The previous prime is 126886663. The next prime is 126886723. The reversal of 126886720 is 27688621.

It is a super-2 number, since 2×1268867202 = 32200479424716800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126886723) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3525 + ... + 16315.

Almost surely, 2126886720 is an apocalyptic number.

126886720 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 126886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155960064).

126886720 is an abundant number, since it is smaller than the sum of its proper divisors (185033408).

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

126886720 is a wasteful number, since it uses less digits than its factorization.

126886720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12839 (or 12829 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 126886720 is about 11264.4005610596. The cubic root of 126886720 is about 502.5030749876.

The spelling of 126886720 in words is "one hundred twenty-six million, eight hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 155 160 248 310 320 496 620 992 1240 1984 2480 4960 9920 12791 25582 51164 63955 102328 127910 204656 255820 396521 409312 511640 793042 818624 1023280 1586084 1982605 2046560 3172168 3965210 4093120 6344336 7930420 12688672 15860840 25377344 31721680 63443360 126886720