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211000980 = 223517771979
BaseRepresentation
bin11001001001110…
…01111010010100
3112201000221221010
430210321322110
5413004012410
632534252220
75141323131
oct1444717224
9481027833
10211000980
11a9117183
125a7b7070
1334939668
1420047588
15137cdc20
hexc939e94

211000980 has 48 divisors (see below), whose sum is σ = 591433920. Its totient is φ = 56206848.

The previous prime is 211000967. The next prime is 211000981. The reversal of 211000980 is 89000112.

211000980 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211000981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105631 + ... + 107609.

It is an arithmetic number, because the mean of its divisors is an integer number (12321540).

Almost surely, 2211000980 is an apocalyptic number.

211000980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000980 is an abundant number, since it is smaller than the sum of its proper divisors (380432940).

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

211000980 is a wasteful number, since it uses less digits than its factorization.

211000980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3766 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 21.

The square root of 211000980 is about 14525.8727792859. The cubic root of 211000980 is about 595.3351029989.

It can be divided in two parts, 21 and 1000980, that added together give a palindrome (1001001).

The spelling of 211000980 in words is "two hundred eleven million, nine hundred eighty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1777 1979 3554 3958 5331 5937 7108 7916 8885 9895 10662 11874 17770 19790 21324 23748 26655 29685 35540 39580 53310 59370 106620 118740 3516683 7033366 10550049 14066732 17583415 21100098 35166830 42200196 52750245 70333660 105500490 211000980