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211032080 = 24571911973
BaseRepresentation
bin11001001010000…
…01100000010000
3112201002112120222
430211001200100
5413011011310
632535052212
75141512610
oct1445014020
9481075528
10211032080
11a9138586
125a811068
133494a86c
1420054a40
15137d8055
hexc941810

211032080 has 80 divisors (see below), whose sum is σ = 563963904. Its totient is φ = 71938560.

The previous prime is 211032079. The next prime is 211032119. The reversal of 211032080 is 80230112.

It is a tau number, because it is divible by the number of its divisors (80).

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, 105974 + ... + 107946.

Almost surely, 2211032080 is an apocalyptic number.

211032080 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 211032080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281981952).

211032080 is an abundant number, since it is smaller than the sum of its proper divisors (352931824).

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

211032080 is a wasteful number, since it uses less digits than its factorization.

211032080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2184 (or 2178 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 211032080 is about 14526.9432435045. The cubic root of 211032080 is about 595.3643509075.

Adding to 211032080 its reverse (80230112), we get a palindrome (291262192).

The spelling of 211032080 in words is "two hundred eleven million, thirty-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 191 280 382 560 764 955 1337 1528 1910 1973 2674 3056 3820 3946 5348 6685 7640 7892 9865 10696 13370 13811 15280 15784 19730 21392 26740 27622 31568 39460 53480 55244 69055 78920 106960 110488 138110 157840 220976 276220 376843 552440 753686 1104880 1507372 1884215 2637901 3014744 3768430 5275802 6029488 7536860 10551604 13189505 15073720 21103208 26379010 30147440 42206416 52758020 105516040 211032080