Search a number
-
+
2123460 = 2232547251
BaseRepresentation
bin1000000110011011000100
310222212211200
420012123010
51020422320
6113302500
724022563
oct10063304
93885750
102123460
111220429
12864a30
135946b1
143d3bda
152be290
hex2066c4

2123460 has 72 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 552000.

The previous prime is 2123423. The next prime is 2123461. The reversal of 2123460 is 643212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2123461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8335 + ... + 8585.

It is an arithmetic number, because the mean of its divisors is an integer number (91728).

22123460 is an apocalyptic number.

2123460 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 2123460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2123460 is an abundant number, since it is smaller than the sum of its proper divisors (4480956).

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

2123460 is a wasteful number, since it uses less digits than its factorization.

2123460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2123460 is about 1457.2096623341. The cubic root of 2123460 is about 128.5330149792.

Adding to 2123460 its reverse (643212), we get a palindrome (2766672).

The spelling of 2123460 in words is "two million, one hundred twenty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 251 282 423 470 502 564 705 753 846 940 1004 1255 1410 1506 1692 2115 2259 2510 2820 3012 3765 4230 4518 5020 7530 8460 9036 11295 11797 15060 22590 23594 35391 45180 47188 58985 70782 106173 117970 141564 176955 212346 235940 353910 424692 530865 707820 1061730 2123460