Search a number
-
+
2134752 = 25337601
BaseRepresentation
bin1000001001001011100000
311000110022220
420021023200
51021303002
6113431040
724100524
oct10111340
94013286
102134752
111228964
1286b480
13599889
143d7d84
152c27bc
hex2092e0

2134752 has 48 divisors (see below), whose sum is σ = 5764752. Its totient is φ = 691200.

The previous prime is 2134751. The next prime is 2134763. The reversal of 2134752 is 2574312.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×21347522 = 9114332203008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 23 + 1 + 311 + 46 + 73 + 59 + 25 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3252 + ... + 3852.

It is an arithmetic number, because the mean of its divisors is an integer number (120099).

22134752 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 2134752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882376).

2134752 is an abundant number, since it is smaller than the sum of its proper divisors (3630000).

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

2134752 is a wasteful number, since it uses less digits than its factorization.

2134752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 643 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 2134752 is about 1461.0790533027. The cubic root of 2134752 is about 128.7604471995.

The spelling of 2134752 in words is "two million, one hundred thirty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 601 888 1184 1202 1776 1803 2404 3552 3606 4808 7212 9616 14424 19232 22237 28848 44474 57696 66711 88948 133422 177896 266844 355792 533688 711584 1067376 2134752