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126421896 = 233193759127
BaseRepresentation
bin1111000100100…
…00101110001000
322210212220020110
413202100232020
5224331000041
620313354320
73063365646
oct742205610
9283786213
10126421896
11653a8707
12364089a0
1320264c73
1412b0c196
15b173516
hex7890b88

126421896 has 128 divisors (see below), whose sum is σ = 350208000. Its totient is φ = 37884672.

The previous prime is 126421879. The next prime is 126421913. The reversal of 126421896 is 698124621.

It is an interprime number because it is at equal distance from previous prime (126421879) and next prime (126421913).

It is an unprimeable number.

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, 995385 + ... + 995511.

It is an arithmetic number, because the mean of its divisors is an integer number (2736000).

Almost surely, 2126421896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126421896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175104000).

126421896 is an abundant number, since it is smaller than the sum of its proper divisors (223786104).

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

126421896 is a wasteful number, since it uses less digits than its factorization.

126421896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its digits is 41472, while the sum is 39.

The square root of 126421896 is about 11243.7491967760. The cubic root of 126421896 is about 501.8887178398. Note that the first 3 decimals are identical.

The spelling of 126421896 in words is "one hundred twenty-six million, four hundred twenty-one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 59 74 76 111 114 118 127 148 152 177 222 228 236 254 296 354 381 444 456 472 508 703 708 762 888 1016 1121 1406 1416 1524 2109 2183 2242 2413 2812 3048 3363 4218 4366 4484 4699 4826 5624 6549 6726 7239 7493 8436 8732 8968 9398 9652 13098 13452 14097 14478 14986 16872 17464 18796 19304 22479 26196 26904 28194 28956 29972 37592 41477 44958 52392 56388 57912 59944 82954 89281 89916 112776 124431 142367 165908 178562 179832 248862 267843 277241 284734 331816 357124 427101 497724 535686 554482 569468 714248 831723 854202 995448 1071372 1108964 1138936 1663446 1708404 2142744 2217928 3326892 3416808 5267579 6653784 10535158 15802737 21070316 31605474 42140632 63210948 126421896