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126230016 = 2931131241
BaseRepresentation
bin1111000011000…
…01111000000000
322210112011000210
413201201320000
5224303330031
620305314120
73061636353
oct741417000
9283464023
10126230016
1165287530
1236335940
13201c8823
1412a9c29a
15b136746
hex7861e00

126230016 has 160 divisors (see below), whose sum is σ = 380261376. Its totient is φ = 36864000.

The previous prime is 126230009. The next prime is 126230023. The reversal of 126230016 is 610032621.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (126230009) and next prime (126230023).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 126229974 and 126230001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523656 + ... + 523896.

Almost surely, 2126230016 is an apocalyptic number.

126230016 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 126230016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190130688).

126230016 is an abundant number, since it is smaller than the sum of its proper divisors (254031360).

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

126230016 is a wasteful number, since it uses less digits than its factorization.

126230016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 126230016 is about 11235.2132156003. The cubic root of 126230016 is about 501.6346712093.

Adding to 126230016 its reverse (610032621), we get a palindrome (736262637).

The spelling of 126230016 in words is "one hundred twenty-six million, two hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 128 132 176 186 192 241 248 256 264 341 352 372 384 482 496 512 528 682 704 723 744 768 964 992 1023 1056 1364 1408 1446 1488 1536 1928 1984 2046 2112 2651 2728 2816 2892 2976 3856 3968 4092 4224 5302 5456 5632 5784 5952 7471 7712 7936 7953 8184 8448 10604 10912 11568 11904 14942 15424 15872 15906 16368 16896 21208 21824 22413 23136 23808 29884 30848 31812 32736 42416 43648 44826 46272 47616 59768 61696 63624 65472 82181 84832 87296 89652 92544 119536 123392 127248 130944 164362 169664 174592 179304 185088 239072 246543 254496 261888 328724 339328 358608 370176 478144 493086 508992 523776 657448 678656 717216 956288 986172 1017984 1314896 1357312 1434432 1912576 1972344 2035968 2629792 2868864 3825152 3944688 4071936 5259584 5737728 7889376 10519168 11475456 15778752 21038336 31557504 42076672 63115008 126230016