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126027342 = 23271961863
BaseRepresentation
bin1111000001100…
…00011001001110
322210010212000100
413200300121032
5224230333332
620301111530
73060133440
oct740603116
9283125010
10126027342
1165159231
12362585a6
13201574bc
1412a48490
15b0e667c
hex783064e

126027342 has 96 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 33514560.

The previous prime is 126027337. The next prime is 126027389. The reversal of 126027342 is 243720621.

126027342 is a `hidden beast` number, since 12 + 602 + 7 + 3 + 42 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145603 + ... + 146465.

It is an arithmetic number, because the mean of its divisors is an integer number (3481920).

Almost surely, 2126027342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126027342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

126027342 is an abundant number, since it is smaller than the sum of its proper divisors (208236978).

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

126027342 is a wasteful number, since it uses less digits than its factorization.

126027342 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 126027342 is about 11226.1900037368. The cubic root of 126027342 is about 501.3660537288.

Adding to 126027342 its reverse (243720621), we get a palindrome (369747963).

The spelling of 126027342 in words is "one hundred twenty-six million, twenty-seven thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 61 63 114 122 126 133 171 183 266 342 366 399 427 549 798 854 863 1098 1159 1197 1281 1726 2318 2394 2562 2589 3477 3843 5178 6041 6954 7686 7767 8113 10431 12082 15534 16226 16397 18123 20862 24339 32794 36246 48678 49191 52643 54369 73017 98382 105286 108738 114779 146034 147573 157929 229558 295146 315858 344337 368501 473787 688674 737002 947574 1000217 1033011 1105503 2000434 2066022 2211006 3000651 3316509 6001302 6633018 7001519 9001953 14003038 18003906 21004557 42009114 63013671 126027342