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126929980 = 22537433989
BaseRepresentation
bin1111001000011…
…00110000111100
322211211201012101
413210030300330
5224443224410
620332314444
73100613152
oct744146074
9284751171
10126929980
1165715411
1236612a24
13203b22c8
1412c013d2
15b223d3a
hex790cc3c

126929980 has 48 divisors (see below), whose sum is σ = 280193760. Its totient is φ = 48238848.

The previous prime is 126929977. The next prime is 126929981. The reversal of 126929980 is 89929621.

It is a super-2 number, since 2×1269299802 = 32222439645600800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 126929980.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126929981) by changing a digit.

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, 29826 + ... + 33814.

It is an arithmetic number, because the mean of its divisors is an integer number (5837370).

Almost surely, 2126929980 is an apocalyptic number.

126929980 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 126929980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140096880).

126929980 is an abundant number, since it is smaller than the sum of its proper divisors (153263780).

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

126929980 is a wasteful number, since it uses less digits than its factorization.

126929980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4078 (or 4076 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 46.

The square root of 126929980 is about 11266.3206061251. The cubic root of 126929980 is about 502.5601752973.

The spelling of 126929980 in words is "one hundred twenty-six million, nine hundred twenty-nine thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 37 43 74 86 148 172 185 215 370 430 740 860 1591 3182 3989 6364 7955 7978 15910 15956 19945 31820 39890 79780 147593 171527 295186 343054 590372 686108 737965 857635 1475930 1715270 2951860 3430540 6346499 12692998 25385996 31732495 63464990 126929980