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12200640 = 263571179
BaseRepresentation
bin101110100010…
…101011000000
3211221212010120
4232202223000
511110410030
61113300240
7205463244
oct56425300
924855116
1012200640
116983581
124104680
1326b241a
141898424
151110010
hexba2ac0

12200640 has 112 divisors (see below), whose sum is σ = 39502080. Its totient is φ = 3189760.

The previous prime is 12200621. The next prime is 12200647. The reversal of 12200640 is 4600221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68071 + ... + 68249.

Almost surely, 212200640 is an apocalyptic number.

12200640 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 12200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19751040).

12200640 is an abundant number, since it is smaller than the sum of its proper divisors (27301440).

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

12200640 is a wasteful number, since it uses less digits than its factorization.

12200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 12200640 is about 3492.9414538466. The cubic root of 12200640 is about 230.2117772167.

Adding to 12200640 its reverse (4600221), we get a palindrome (16800861).

The spelling of 12200640 in words is "twelve million, two hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 142 160 179 192 213 240 284 320 355 358 426 480 537 568 710 716 852 895 960 1065 1074 1136 1420 1432 1704 1790 2130 2148 2272 2685 2840 2864 3408 3580 4260 4296 4544 5370 5680 5728 6816 7160 8520 8592 10740 11360 11456 12709 13632 14320 17040 17184 21480 22720 25418 28640 34080 34368 38127 42960 50836 57280 63545 68160 76254 85920 101672 127090 152508 171840 190635 203344 254180 305016 381270 406688 508360 610032 762540 813376 1016720 1220064 1525080 2033440 2440128 3050160 4066880 6100320 12200640