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126763780 = 2251113127349
BaseRepresentation
bin1111000111001…
…00001100000100
322211112021012211
413203210030010
5224422420110
620324553204
73066321463
oct743441404
9284467184
10126763780
1165611560
1236552804
1320354770
1412b9a9da
15b1de98a
hex78e4304

126763780 has 96 divisors (see below), whose sum is σ = 316108800. Its totient is φ = 42094080.

The previous prime is 126763753. The next prime is 126763783. The reversal of 126763780 is 87367621.

It is not an unprimeable number, because it can be changed into a prime (126763783) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 363046 + ... + 363394.

It is an arithmetic number, because the mean of its divisors is an integer number (3292800).

Almost surely, 2126763780 is an apocalyptic number.

126763780 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 126763780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158054400).

126763780 is an abundant number, since it is smaller than the sum of its proper divisors (189345020).

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

126763780 is a wasteful number, since it uses less digits than its factorization.

126763780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 126763780 is about 11258.9422238503. The cubic root of 126763780 is about 502.3407315187.

The spelling of 126763780 in words is "one hundred twenty-six million, seven hundred sixty-three thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 127 130 143 220 254 260 286 349 508 572 635 698 715 1270 1396 1397 1430 1651 1745 2540 2794 2860 3302 3490 3839 4537 5588 6604 6980 6985 7678 8255 9074 13970 15356 16510 18148 18161 19195 22685 27940 33020 36322 38390 44323 45370 49907 72644 76780 88646 90740 90805 99814 177292 181610 199628 221615 249535 363220 443230 487553 499070 576199 886460 975106 998140 1152398 1950212 2304796 2437765 2880995 4875530 5761990 6338189 9751060 11523980 12676378 25352756 31690945 63381890 126763780