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126891640 = 23519716103
BaseRepresentation
bin1111001000000…
…11011001111000
322211202202121101
413210003121320
5224441013030
620331421144
73100363321
oct744033170
9284682541
10126891640
1165699627
12365b47b4
132039aa15
1412bd1448
15b2177ca
hex7903678

126891640 has 32 divisors (see below), whose sum is σ = 286973280. Its totient is φ = 50495872.

The previous prime is 126891629. The next prime is 126891641. The reversal of 126891640 is 46198621.

It is a happy number.

It is a super-2 number, since 2×1268916402 = 32202976603779200, 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 126891640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (126891641) 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 7 ways as a sum of consecutive naturals, for example, 172 + ... + 15931.

It is an arithmetic number, because the mean of its divisors is an integer number (8967915).

Almost surely, 2126891640 is an apocalyptic number.

126891640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

126891640 is an abundant number, since it is smaller than the sum of its proper divisors (160081640).

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

126891640 is a wasteful number, since it uses less digits than its factorization.

126891640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16311 (or 16307 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 126891640 is about 11264.6189460629. The cubic root of 126891640 is about 502.5095697129.

The spelling of 126891640 in words is "one hundred twenty-six million, eight hundred ninety-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1970 3940 7880 16103 32206 64412 80515 128824 161030 322060 644120 3172291 6344582 12689164 15861455 25378328 31722910 63445820 126891640