Search a number
-
+
212832740 = 22529366953
BaseRepresentation
bin11001010111110…
…01000111100100
3112211111000122002
430223321013210
5413441121430
633041424432
75163022421
oct1453710744
9484430562
10212832740
11aa15842a
125b33b118
133512b343
14203a2d48
1513a41845
hexcaf91e4

212832740 has 24 divisors (see below), whose sum is σ = 462362040. Its totient is φ = 82197248.

The previous prime is 212832733. The next prime is 212832773. The reversal of 212832740 is 47238212.

It can be written as a sum of positive squares in 4 ways, for example, as 2408704 + 210424036 = 1552^2 + 14506^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182897 + ... + 184056.

It is an arithmetic number, because the mean of its divisors is an integer number (19265085).

Almost surely, 2212832740 is an apocalyptic number.

212832740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212832740 is an abundant number, since it is smaller than the sum of its proper divisors (249529300).

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

212832740 is a wasteful number, since it uses less digits than its factorization.

212832740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366991 (or 366989 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 29.

The square root of 212832740 is about 14588.7881607761. The cubic root of 212832740 is about 597.0528998874.

The spelling of 212832740 in words is "two hundred twelve million, eight hundred thirty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 366953 733906 1467812 1834765 3669530 7339060 10641637 21283274 42566548 53208185 106416370 212832740