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12202680 = 2335773199
BaseRepresentation
bin101110100011…
…001010111000
3211221221221010
4232203022320
511110441210
61113313520
7205502220
oct56431270
924857833
1012202680
116985066
1241058a0
1326b3329
141899080
151110920
hexba32b8

12202680 has 128 divisors (see below), whose sum is σ = 42624000. Its totient is φ = 2737152.

The previous prime is 12202679. The next prime is 12202691. The reversal of 12202680 is 8620221.

12202680 is digitally balanced in base 2 and base 8, because in such bases 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 (21).

12202680 is strictly pandigital in base 8.

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, 61221 + ... + 61419.

It is an arithmetic number, because the mean of its divisors is an integer number (333000).

Almost surely, 212202680 is an apocalyptic number.

12202680 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 12202680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21312000).

12202680 is an abundant number, since it is smaller than the sum of its proper divisors (30421320).

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

12202680 is a wasteful number, since it uses less digits than its factorization.

12202680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 12202680 is about 3493.2334591321. The cubic root of 12202680 is about 230.2246073046.

The spelling of 12202680 in words is "twelve million, two hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 73 84 105 120 140 146 168 199 210 219 280 292 365 398 420 438 511 584 597 730 796 840 876 995 1022 1095 1194 1393 1460 1533 1592 1752 1990 2044 2190 2388 2555 2786 2920 2985 3066 3980 4088 4179 4380 4776 5110 5572 5970 6132 6965 7665 7960 8358 8760 10220 11144 11940 12264 13930 14527 15330 16716 20440 20895 23880 27860 29054 30660 33432 41790 43581 55720 58108 61320 72635 83580 87162 101689 116216 145270 167160 174324 203378 217905 290540 305067 348648 406756 435810 508445 581080 610134 813512 871620 1016890 1220268 1525335 1743240 2033780 2440536 3050670 4067560 6101340 12202680