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2133472 = 251121929
BaseRepresentation
bin1000001000110111100000
311000101120111
420020313200
51021232342
6113421104
724064015
oct10106740
94011514
102133472
111227a00
1286a794
13599113
143d770c
152c2217
hex208de0

2133472 has 72 divisors (see below), whose sum is σ = 5027400. Its totient is φ = 887040.

The previous prime is 2133463. The next prime is 2133487. The reversal of 2133472 is 2743312.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a d-powerful number, because it can be written as 2 + 1 + 35 + 39 + 47 + 7 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73554 + ... + 73582.

It is an arithmetic number, because the mean of its divisors is an integer number (69825).

22133472 is an apocalyptic number.

2133472 is a gapful number since it is divisible by the number (22) 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 2133472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513700).

2133472 is an abundant number, since it is smaller than the sum of its proper divisors (2893928).

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

2133472 is a wasteful number, since it uses less digits than its factorization.

2133472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 61 counting only the distinct ones).

The product of its digits is 1008, while the sum is 22.

The square root of 2133472 is about 1460.6409551974. The cubic root of 2133472 is about 128.7347070785.

Adding to 2133472 its reverse (2743312), we get a palindrome (4876784).

The spelling of 2133472 in words is "two million, one hundred thirty-three thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 19 22 29 32 38 44 58 76 88 116 121 152 176 209 232 242 304 319 352 418 464 484 551 608 638 836 928 968 1102 1276 1672 1936 2204 2299 2552 3344 3509 3872 4408 4598 5104 6061 6688 7018 8816 9196 10208 12122 14036 17632 18392 24244 28072 36784 48488 56144 66671 73568 96976 112288 133342 193952 266684 533368 1066736 2133472