Search a number
-
+
126434896 = 2472296783
BaseRepresentation
bin1111000100100…
…11111001010000
322210220120001221
413202103321100
5224331404041
620313534424
73063451600
oct742237120
9283816057
10126434896
1165407455
1236414414
132026ab63
1412b12c00
15b1772d1
hex7893e50

126434896 has 120 divisors (see below), whose sum is σ = 302793120. Its totient is φ = 50916096.

The previous prime is 126434863. The next prime is 126434929. The reversal of 126434896 is 698434621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126434863) and next prime (126434929).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1523271 + ... + 1523353.

It is an arithmetic number, because the mean of its divisors is an integer number (2523276).

Almost surely, 2126434896 is an apocalyptic number.

126434896 is a gapful number since it is divisible by the number (16) 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 126434896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151396560).

126434896 is an abundant number, since it is smaller than the sum of its proper divisors (176358224).

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

126434896 is a wasteful number, since it uses less digits than its factorization.

126434896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 126434896 is about 11244.3272809004. The cubic root of 126434896 is about 501.9059203707.

The spelling of 126434896 in words is "one hundred twenty-six million, four hundred thirty-four thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 49 56 58 67 83 98 112 116 134 166 196 203 232 268 332 392 406 464 469 536 581 664 784 812 938 1072 1162 1328 1421 1624 1876 1943 2324 2407 2842 3248 3283 3752 3886 4067 4648 4814 5561 5684 6566 7504 7772 8134 9296 9628 11122 11368 13132 13601 15544 16268 16849 19256 22244 22736 26264 27202 31088 32536 33698 38512 38927 44488 52528 54404 65072 67396 77854 88976 95207 108808 117943 134792 155708 161269 190414 217616 235886 269584 272489 311416 322538 380828 471772 544978 622832 645076 761656 943544 1089956 1128883 1290152 1523312 1887088 2179912 2257766 2580304 4359824 4515532 7902181 9031064 15804362 18062128 31608724 63217448 126434896