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126994680 = 23325615783
BaseRepresentation
bin1111001000111…
…00100011111000
322211221222221200
413210130203320
5230002312210
620333534200
73101302611
oct744344370
9284858850
10126994680
1165759a8a
1236644360
13204058a7
1412c1ac08
15b2380c0
hex791c8f8

126994680 has 96 divisors (see below), whose sum is σ = 419571360. Its totient is φ = 33304320.

The previous prime is 126994663. The next prime is 126994687. The reversal of 126994680 is 86499621.

It is a happy number.

It is a super-2 number, since 2×1269946802 = 32255297496604800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126994687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19069 + ... + 24851.

It is an arithmetic number, because the mean of its divisors is an integer number (4370535).

Almost surely, 2126994680 is an apocalyptic number.

126994680 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 126994680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209785680).

126994680 is an abundant number, since it is smaller than the sum of its proper divisors (292576680).

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

126994680 is a wasteful number, since it uses less digits than its factorization.

126994680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 126994680 is about 11269.1916302812. The cubic root of 126994680 is about 502.6455507675.

The spelling of 126994680 in words is "one hundred twenty-six million, nine hundred ninety-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 61 72 90 120 122 180 183 244 305 360 366 488 549 610 732 915 1098 1220 1464 1830 2196 2440 2745 3660 4392 5490 5783 7320 10980 11566 17349 21960 23132 28915 34698 46264 52047 57830 69396 86745 104094 115660 138792 173490 208188 231320 260235 346980 352763 416376 520470 693960 705526 1040940 1058289 1411052 1763815 2081880 2116578 2822104 3174867 3527630 4233156 5291445 6349734 7055260 8466312 10582890 12699468 14110520 15874335 21165780 25398936 31748670 42331560 63497340 126994680