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13422024 = 2334711269
BaseRepresentation
bin110011001100…
…110111001000
3221020220120000
4303030313020
511414001044
61155403000
7222041160
oct63146710
927226500
1013422024
117638190
1245b3460
132a1c335
141ad55a0
1512a1d69
hexcccdc8

13422024 has 160 divisors (see below), whose sum is σ = 47044800. Its totient is φ = 3473280.

The previous prime is 13422023. The next prime is 13422049. The reversal of 13422024 is 42022431.

13422024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 13421988 and 13422006.

It is not an unprimeable number, because it can be changed into a prime (13422023) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 49762 + ... + 50030.

It is an arithmetic number, because the mean of its divisors is an integer number (294030).

Almost surely, 213422024 is an apocalyptic number.

13422024 is a gapful number since it is divisible by the number (14) 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 13422024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23522400).

13422024 is an abundant number, since it is smaller than the sum of its proper divisors (33622776).

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

13422024 is a wasteful number, since it uses less digits than its factorization.

13422024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 292 counting only the distinct ones).

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

The square root of 13422024 is about 3663.6080576394. The cubic root of 13422024 is about 237.6508308756.

Adding to 13422024 its reverse (42022431), we get a palindrome (55444455).

The spelling of 13422024 in words is "thirteen million, four hundred twenty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 81 84 88 99 108 126 132 154 162 168 189 198 216 231 252 264 269 297 308 324 378 396 462 504 538 567 594 616 648 693 756 792 807 891 924 1076 1134 1188 1386 1512 1614 1782 1848 1883 2079 2152 2268 2376 2421 2772 2959 3228 3564 3766 4158 4536 4842 5544 5649 5918 6237 6456 7128 7263 7532 8316 8877 9684 11298 11836 12474 14526 15064 16632 16947 17754 19368 20713 21789 22596 23672 24948 26631 29052 33894 35508 41426 43578 45192 49896 50841 53262 58104 62139 67788 71016 79893 82852 87156 101682 106524 124278 135576 152523 159786 165704 174312 186417 203364 213048 239679 248556 305046 319572 372834 406728 479358 497112 559251 610092 639144 745668 958716 1118502 1220184 1491336 1677753 1917432 2237004 3355506 4474008 6711012 13422024