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2121672 = 233773173
BaseRepresentation
bin1000000101111111001000
310222210101110
420011333020
51020343142
6113250320
724014430
oct10057710
93883343
102121672
11121a053
128639a0
13593937
143d32c0
152bd99c
hex205fc8

2121672 has 64 divisors (see below), whose sum is σ = 6180480. Its totient is φ = 594432.

The previous prime is 2121667. The next prime is 2121683. The reversal of 2121672 is 2761212.

2121672 is digitally balanced in base 5, 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 (21).

It is a nude number because it is divisible by every one of its digits.

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

It is a congruent number.

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, 12178 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (96570).

22121672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3090240).

2121672 is an abundant number, since it is smaller than the sum of its proper divisors (4058808).

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

2121672 is a wasteful number, since it uses less digits than its factorization.

2121672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 258 counting only the distinct ones).

The product of its digits is 336, while the sum is 21.

The square root of 2121672 is about 1456.5960318496. The cubic root of 2121672 is about 128.4969289742.

Adding to 2121672 its reverse (2761212), we get a palindrome (4882884).

The spelling of 2121672 in words is "two million, one hundred twenty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 73 84 146 168 173 219 292 346 438 511 519 584 692 876 1022 1038 1211 1384 1533 1752 2044 2076 2422 3066 3633 4088 4152 4844 6132 7266 9688 12264 12629 14532 25258 29064 37887 50516 75774 88403 101032 151548 176806 265209 303096 353612 530418 707224 1060836 2121672