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12354420 = 22351347337
BaseRepresentation
bin101111001000…
…001101110100
3212020200002010
4233020031310
511130320140
61120444220
7210003501
oct57101564
925220063
1012354420
116a79071
124179670
132737410
1418d84a8
151140880
hexbc8374

12354420 has 96 divisors (see below), whose sum is σ = 38158848. Its totient is φ = 2967552.

The previous prime is 12354413. The next prime is 12354443. The reversal of 12354420 is 2445321.

12354420 = T169 + T170 + ... + T428.

12354420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36492 + ... + 36828.

It is an arithmetic number, because the mean of its divisors is an integer number (397488).

Almost surely, 212354420 is an apocalyptic number.

12354420 is a gapful number since it is divisible by the number (10) 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 12354420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19079424).

12354420 is an abundant number, since it is smaller than the sum of its proper divisors (25804428).

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

12354420 is a wasteful number, since it uses less digits than its factorization.

12354420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 12354420 is about 3514.8854888886. The cubic root of 12354420 is about 231.1749578764.

Adding to 12354420 its reverse (2445321), we get a palindrome (14799741).

Subtracting from 12354420 its reverse (2445321), we obtain a palindrome (9909099).

The spelling of 12354420 in words is "twelve million, three hundred fifty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 337 390 470 564 611 674 705 780 940 1011 1222 1348 1410 1685 1833 2022 2444 2820 3055 3370 3666 4044 4381 5055 6110 6740 7332 8762 9165 10110 12220 13143 15839 17524 18330 20220 21905 26286 31678 36660 43810 47517 52572 63356 65715 79195 87620 95034 131430 158390 190068 205907 237585 262860 316780 411814 475170 617721 823628 950340 1029535 1235442 2059070 2470884 3088605 4118140 6177210 12354420