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212978940 = 22353549649
BaseRepresentation
bin11001011000111…
…00110011111100
3112211202110011220
430230130303330
5414010311230
633044513340
75164201566
oct1454346374
9484673156
10212978940
11aa248259
125b3ab850
133517ca55
1420400336
1513a6ed10
hexcb1ccfc

212978940 has 24 divisors (see below), whose sum is σ = 596341200. Its totient is φ = 56794368.

The previous prime is 212978939. The next prime is 212978951. The reversal of 212978940 is 49879212.

It is a junction number, because it is equal to n+sod(n) for n = 212978892 and 212978901.

It is a congruent number.

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, 1774765 + ... + 1774884.

It is an arithmetic number, because the mean of its divisors is an integer number (24847550).

Almost surely, 2212978940 is an apocalyptic number.

212978940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212978940 is an abundant number, since it is smaller than the sum of its proper divisors (383362260).

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

212978940 is a wasteful number, since it uses less digits than its factorization.

212978940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3549661 (or 3549659 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 212978940 is about 14593.7979977797. The cubic root of 212978940 is about 597.1895786625.

The spelling of 212978940 in words is "two hundred twelve million, nine hundred seventy-eight thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 3549649 7099298 10648947 14198596 17748245 21297894 35496490 42595788 53244735 70992980 106489470 212978940