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12210640 = 2451359199
BaseRepresentation
bin101110100101…
…000111010000
3211222100211221
4232211013100
511111220030
61113414424
7205534351
oct56450720
924870757
1012210640
116990042
12410a414
1326b6b40
14189bd28
151112e7a
hexba51d0

12210640 has 80 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 4409856.

The previous prime is 12210619. The next prime is 12210659. The reversal of 12210640 is 4601221.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61261 + ... + 61459.

It is an arithmetic number, because the mean of its divisors is an integer number (390600).

Almost surely, 212210640 is an apocalyptic number.

12210640 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 12210640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

12210640 is an abundant number, since it is smaller than the sum of its proper divisors (19037360).

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

12210640 is a wasteful number, since it uses less digits than its factorization.

12210640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 12210640 is about 3494.3726189403. The cubic root of 12210640 is about 230.2746561339.

Adding to 12210640 its reverse (4601221), we get a palindrome (16811861).

The spelling of 12210640 in words is "twelve million, two hundred ten thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 199 208 236 260 295 398 472 520 590 767 796 944 995 1040 1180 1534 1592 1990 2360 2587 3068 3184 3835 3980 4720 5174 6136 7670 7960 10348 11741 12272 12935 15340 15920 20696 23482 25870 30680 41392 46964 51740 58705 61360 93928 103480 117410 152633 187856 206960 234820 305266 469640 610532 763165 939280 1221064 1526330 2442128 3052660 6105320 12210640