Search a number
-
+
210815980 = 225175311699
BaseRepresentation
bin11001001000011…
…00101111101100
3112200200120011021
430210030233230
5412432102410
632530303524
75136622564
oct1444145754
9480616137
10210815980
11a9000191
125a727ba4
13348a33ab
141ddd9da4
1513793eda
hexc90cbec

210815980 has 48 divisors (see below), whose sum is σ = 477640800. Its totient is φ = 77861888.

The previous prime is 210815977. The next prime is 210815981. The reversal of 210815980 is 89518012.

210815980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (210815981) 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, 12171 + ... + 23869.

It is an arithmetic number, because the mean of its divisors is an integer number (9950850).

Almost surely, 2210815980 is an apocalyptic number.

210815980 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 210815980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238820400).

210815980 is an abundant number, since it is smaller than the sum of its proper divisors (266824820).

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

210815980 is a wasteful number, since it uses less digits than its factorization.

210815980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11778 (or 11776 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 34.

The square root of 210815980 is about 14519.5034350352. The cubic root of 210815980 is about 595.1610608402.

The spelling of 210815980 in words is "two hundred ten million, eight hundred fifteen thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 53 68 85 106 170 212 265 340 530 901 1060 1802 3604 4505 9010 11699 18020 23398 46796 58495 116990 198883 233980 397766 620047 795532 994415 1240094 1988830 2480188 3100235 3977660 6200470 10540799 12400940 21081598 42163196 52703995 105407990 210815980