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212639640 = 23351993263
BaseRepresentation
bin11001010110010…
…01111110011000
3112211010012202020
430223021332120
5413413432030
633033334440
75161256433
oct1453117630
9484105666
10212639640
11aa036344
125b267420
1335091495
142035281a
1513a04510
hexcac9f98

212639640 has 64 divisors (see below), whose sum is σ = 671500800. Its totient is φ = 53718912.

The previous prime is 212639579. The next prime is 212639677. The reversal of 212639640 is 46936212.

212639640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 44352 + ... + 48911.

It is an arithmetic number, because the mean of its divisors is an integer number (10492200).

Almost surely, 2212639640 is an apocalyptic number.

212639640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212639640 is an abundant number, since it is smaller than the sum of its proper divisors (458861160).

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

212639640 is a wasteful number, since it uses less digits than its factorization.

212639640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93296 (or 93292 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 212639640 is about 14582.1685630087. The cubic root of 212639640 is about 596.8722794938.

It can be divided in two parts, 21263 and 9640, that added together give a palindrome (30903).

The spelling of 212639640 in words is "two hundred twelve million, six hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 93263 186526 279789 373052 466315 559578 746104 932630 1119156 1398945 1771997 1865260 2238312 2797890 3543994 3730520 5315991 5595780 7087988 8859985 10631982 11191560 14175976 17719970 21263964 26579955 35439940 42527928 53159910 70879880 106319820 212639640