Search a number
-
+
212632940 = 225131773659
BaseRepresentation
bin11001010110010…
…00010101101100
3112211002212120002
430223020111230
5413413223230
633033243432
75161231052
oct1453102554
9484085502
10212632940
11aa031303
125b263578
133508b410
14203501d2
1513a02545
hexcac856c

212632940 has 96 divisors (see below), whose sum is σ = 516922560. Its totient is φ = 72769536.

The previous prime is 212632921. The next prime is 212632961. The reversal of 212632940 is 49236212.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322331 + ... + 322989.

It is an arithmetic number, because the mean of its divisors is an integer number (5384610).

Almost surely, 2212632940 is an apocalyptic number.

212632940 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 212632940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258461280).

212632940 is an abundant number, since it is smaller than the sum of its proper divisors (304289620).

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

212632940 is a wasteful number, since it uses less digits than its factorization.

212632940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 771 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 212632940 is about 14581.9388285646. The cubic root of 212632940 is about 596.8660105368.

The spelling of 212632940 in words is "two hundred twelve million, six hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 73 85 130 146 170 221 260 292 340 365 442 659 730 884 949 1105 1241 1318 1460 1898 2210 2482 2636 3295 3796 4420 4745 4964 6205 6590 8567 9490 11203 12410 13180 16133 17134 18980 22406 24820 32266 34268 42835 44812 48107 56015 64532 80665 85670 96214 112030 145639 161330 171340 192428 224060 240535 291278 322660 481070 582556 625391 728195 817819 962140 1250782 1456390 1635638 2501564 2912780 3126955 3271276 4089095 6253910 8178190 10631647 12507820 16356380 21263294 42526588 53158235 106316470 212632940