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212691420 = 22345177723
BaseRepresentation
bin11001010110101…
…10100111011100
3112211012211210000
430223112213130
5413422111140
633034414300
75161563414
oct1453264734
9484184700
10212691420
11aa071237
125b291390
13350abc16
1420367644
1513a14a30
hexcad69dc

212691420 has 120 divisors (see below), whose sum is σ = 706560624. Its totient is φ = 53374464.

The previous prime is 212691397. The next prime is 212691421. The reversal of 212691420 is 24196212.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212691421) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23679 + ... + 31401.

Almost surely, 2212691420 is an apocalyptic number.

212691420 is a gapful number since it is divisible by the number (20) 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 212691420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353280312).

212691420 is an abundant number, since it is smaller than the sum of its proper divisors (493869204).

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

212691420 is a wasteful number, since it uses less digits than its factorization.

212691420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7761 (or 7750 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 212691420 is about 14583.9439110276. The cubic root of 212691420 is about 596.9207237982.

The spelling of 212691420 in words is "two hundred twelve million, six hundred ninety-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 81 85 90 102 108 135 153 162 170 180 204 255 270 306 324 340 405 459 510 540 612 765 810 918 1020 1377 1530 1620 1836 2295 2754 3060 4590 5508 6885 7723 9180 13770 15446 23169 27540 30892 38615 46338 69507 77230 92676 115845 131291 139014 154460 208521 231690 262582 278028 347535 393873 417042 463380 525164 625563 656455 695070 787746 834084 1042605 1181619 1251126 1312910 1390140 1575492 1969365 2085210 2363238 2502252 2625820 3127815 3544857 3938730 4170420 4726476 5908095 6255630 7089714 7877460 10634571 11816190 12511260 14179428 17724285 21269142 23632380 35448570 42538284 53172855 70897140 106345710 212691420