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212739640 = 23537143743
BaseRepresentation
bin11001010111000…
…10011000111000
3112211022021220221
430223202120320
5413430132030
633035425424
75162154121
oct1453423070
9484267827
10212739640
11aa0a4493
125b2b5274
13350c7b59
142037b048
1513a23e7a
hexcae2638

212739640 has 32 divisors (see below), whose sum is σ = 491604480. Its totient is φ = 82795392.

The previous prime is 212739629. The next prime is 212739661. The reversal of 212739640 is 46937212.

It is a junction number, because it is equal to n+sod(n) for n = 212739596 and 212739605.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 70392 + ... + 73351.

It is an arithmetic number, because the mean of its divisors is an integer number (15362640).

Almost surely, 2212739640 is an apocalyptic number.

212739640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212739640 is an abundant number, since it is smaller than the sum of its proper divisors (278864840).

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

212739640 is a wasteful number, since it uses less digits than its factorization.

212739640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143791 (or 143787 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 212739640 is about 14585.5970052652. The cubic root of 212739640 is about 596.9658303699.

The spelling of 212739640 in words is "two hundred twelve million, seven hundred thirty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 143743 287486 574972 718715 1149944 1437430 2874860 5318491 5749720 10636982 21273964 26592455 42547928 53184910 106369820 212739640