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212076120 = 23351939157
BaseRepresentation
bin11001010010000…
…00011001011000
3112210001120202010
430221000121120
5413242413440
633013305520
75153421504
oct1451003130
9483046663
10212076120
11a9790a23
125b0352a0
1334c24b39
1420247304
1513942580
hexca40658

212076120 has 64 divisors (see below), whose sum is σ = 639594720. Its totient is φ = 56254464.

The previous prime is 212076107. The next prime is 212076167. The reversal of 212076120 is 21670212.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18582 + ... + 27738.

Almost surely, 2212076120 is an apocalyptic number.

212076120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212076120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319797360).

212076120 is an abundant number, since it is smaller than the sum of its proper divisors (427518600).

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

212076120 is a wasteful number, since it uses less digits than its factorization.

212076120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9364 (or 9360 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 212076120 is about 14562.8335154942. The cubic root of 212076120 is about 596.3445525109.

The spelling of 212076120 in words is "two hundred twelve million, seventy-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 193 386 579 772 965 1158 1544 1930 2316 2895 3860 4632 5790 7720 9157 11580 18314 23160 27471 36628 45785 54942 73256 91570 109884 137355 183140 219768 274710 366280 549420 1098840 1767301 3534602 5301903 7069204 8836505 10603806 14138408 17673010 21207612 26509515 35346020 42415224 53019030 70692040 106038060 212076120