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12042432 = 263423101
BaseRepresentation
bin101101111100…
…000011000000
3211122211010000
4231330003000
511040324212
61110040000
7204234063
oct55740300
924584100
1012042432
116885726
124049000
1326583cc
1418568da
1510cd1dc
hexb7c0c0

12042432 has 140 divisors (see below), whose sum is σ = 37618416. Its totient is φ = 3801600.

The previous prime is 12042421. The next prime is 12042439. The reversal of 12042432 is 23424021.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12042439) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119182 + ... + 119282.

Almost surely, 212042432 is an apocalyptic number.

12042432 is a gapful number since it is divisible by the number (12) 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 12042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18809208).

12042432 is an abundant number, since it is smaller than the sum of its proper divisors (25575984).

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

12042432 is a wasteful number, since it uses less digits than its factorization.

12042432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12042432 is about 3470.2207422583. The cubic root of 12042432 is about 229.2123783781.

Adding to 12042432 its reverse (23424021), we get a palindrome (35466453).

The spelling of 12042432 in words is "twelve million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 101 108 138 144 162 184 192 202 207 216 276 288 303 324 368 404 414 432 552 576 606 621 648 736 808 828 864 909 1104 1212 1242 1296 1472 1616 1656 1728 1818 1863 2208 2323 2424 2484 2592 2727 3232 3312 3636 3726 4416 4646 4848 4968 5184 5454 6464 6624 6969 7272 7452 8181 9292 9696 9936 10908 13248 13938 14544 14904 16362 18584 19392 19872 20907 21816 27876 29088 29808 32724 37168 39744 41814 43632 55752 58176 59616 62721 65448 74336 83628 87264 111504 119232 125442 130896 148672 167256 174528 188163 223008 250884 261792 334512 376326 446016 501768 523584 669024 752652 1003536 1338048 1505304 2007072 3010608 4014144 6021216 12042432