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212977104 = 2431632167
BaseRepresentation
bin11001011000111…
…00010111010000
3112211202100122220
430230130113100
5414010231404
633044501040
75164163334
oct1454342720
9484670586
10212977104
11aa24693a
125b3aa780
133517bc72
14203dd7c4
1513a6e4d9
hexcb1c5d0

212977104 has 60 divisors (see below), whose sum is σ = 556901856. Its totient is φ = 70134336.

The previous prime is 212977091. The next prime is 212977133. The reversal of 212977104 is 401779212.

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 11 ways as a sum of consecutive naturals, for example, 1275229 + ... + 1275395.

Almost surely, 2212977104 is an apocalyptic number.

212977104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212977104 is an abundant number, since it is smaller than the sum of its proper divisors (343924752).

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

212977104 is a wasteful number, since it uses less digits than its factorization.

212977104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 212977104 is about 14593.7350942108. The cubic root of 212977104 is about 597.1878626192.

The spelling of 212977104 in words is "two hundred twelve million, nine hundred seventy-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 48 163 167 326 334 489 501 652 668 978 1002 1304 1336 1956 2004 2608 2672 3912 4008 7824 8016 26569 27221 53138 54442 79707 81663 106276 108884 159414 163326 212552 217768 318828 326652 425104 435536 637656 653304 1275312 1306608 4437023 8874046 13311069 17748092 26622138 35496184 53244276 70992368 106488552 212977104