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12254240 = 2551929139
BaseRepresentation
bin101110101111…
…110000100000
3212001120122202
4232233300200
511114113430
61114352332
7206105435
oct56576040
925046582
1012254240
116a0a879
12412b6a8
13270093b
1418adb8c
151120d45
hexbafc20

12254240 has 96 divisors (see below), whose sum is σ = 31752000. Its totient is φ = 4451328.

The previous prime is 12254227. The next prime is 12254251. The reversal of 12254240 is 4245221.

It is a happy number.

12254240 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 (20).

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, 88091 + ... + 88229.

It is an arithmetic number, because the mean of its divisors is an integer number (330750).

Almost surely, 212254240 is an apocalyptic number.

12254240 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 12254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15876000).

12254240 is an abundant number, since it is smaller than the sum of its proper divisors (19497760).

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

12254240 is a wasteful number, since it uses less digits than its factorization.

12254240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 12254240 is about 3500.6056618820. The cubic root of 12254240 is about 230.5484077933.

Adding to 12254240 its reverse (4245221), we get a palindrome (16499461).

The spelling of 12254240 in words is "twelve million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 19 20 29 32 38 40 58 76 80 95 116 139 145 152 160 190 232 278 290 304 380 464 551 556 580 608 695 760 928 1102 1112 1160 1390 1520 2204 2224 2320 2641 2755 2780 3040 4031 4408 4448 4640 5282 5510 5560 8062 8816 10564 11020 11120 13205 16124 17632 20155 21128 22040 22240 26410 32248 40310 42256 44080 52820 64496 76589 80620 84512 88160 105640 128992 153178 161240 211280 306356 322480 382945 422560 612712 644960 765890 1225424 1531780 2450848 3063560 6127120 12254240