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212760380 = 22577611997
BaseRepresentation
bin11001010111001…
…11011100111100
3112211100100101002
430223213130330
5413431313010
633040105432
75162301440
oct1453473474
9484310332
10212760380
11aa109028
125b305278
1335104421
1420384820
1513a2a1a5
hexcae773c

212760380 has 48 divisors (see below), whose sum is σ = 511551936. Its totient is φ = 72814080.

The previous prime is 212760377. The next prime is 212760407. The reversal of 212760380 is 83067212.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105542 + ... + 107538.

It is an arithmetic number, because the mean of its divisors is an integer number (10657332).

Almost surely, 2212760380 is an apocalyptic number.

212760380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212760380 is an abundant number, since it is smaller than the sum of its proper divisors (298791556).

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

212760380 is a wasteful number, since it uses less digits than its factorization.

212760380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2774 (or 2772 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 212760380 is about 14586.3079632922. The cubic root of 212760380 is about 596.9852291508.

The spelling of 212760380 in words is "two hundred twelve million, seven hundred sixty thousand, three hundred eighty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 761 1522 1997 3044 3805 3994 5327 7610 7988 9985 10654 13979 15220 19970 21308 26635 27958 39940 53270 55916 69895 106540 139790 279580 1519717 3039434 6078868 7598585 10638019 15197170 21276038 30394340 42552076 53190095 106380190 212760380