Search a number
-
+
2101410 = 233543181
BaseRepresentation
bin1000000001000010100010
310221202121000
420001002202
51014221120
6113012430
723601363
oct10010242
93852530
102101410
111205903
12854116
1358764c
143c9b6a
152b7990
hex2010a2

2101410 has 64 divisors (see below), whose sum is σ = 5765760. Its totient is φ = 544320.

The previous prime is 2101391. The next prime is 2101423. The reversal of 2101410 is 141012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 2101392 and 2101401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11520 + ... + 11700.

It is an arithmetic number, because the mean of its divisors is an integer number (90090).

22101410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882880).

2101410 is an abundant number, since it is smaller than the sum of its proper divisors (3664350).

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

2101410 is a wasteful number, since it uses less digits than its factorization.

2101410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2101410 is about 1449.6240892038. The cubic root of 2101410 is about 128.0865706679.

Adding to 2101410 its reverse (141012), we get a palindrome (2242422).

The spelling of 2101410 in words is "two million, one hundred one thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 86 90 129 135 181 215 258 270 362 387 430 543 645 774 905 1086 1161 1290 1629 1810 1935 2322 2715 3258 3870 4887 5430 5805 7783 8145 9774 11610 15566 16290 23349 24435 38915 46698 48870 70047 77830 116745 140094 210141 233490 350235 420282 700470 1050705 2101410