Search a number
-
+
532636140 = 223561269541
BaseRepresentation
bin11111101111110…
…110000111101100
31101010020201102110
4133233312013230
52042323324030
6124504124020
716125222021
oct3757660754
91333221373
10532636140
11253728463
1212a466610
1386470c1a
1450a4d548
1531b631b0
hex1fbf61ec

532636140 has 96 divisors (see below), whose sum is σ = 1524277440. Its totient is φ = 138931200.

The previous prime is 532636133. The next prime is 532636147. The reversal of 532636140 is 41636235.

It is an interprime number because it is at equal distance from previous prime (532636133) and next prime (532636147).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 532636098 and 532636107.

It is not an unprimeable number, because it can be changed into a prime (532636147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 984270 + ... + 984810.

It is an arithmetic number, because the mean of its divisors is an integer number (15877890).

Almost surely, 2532636140 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 532636140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762138720).

532636140 is an abundant number, since it is smaller than the sum of its proper divisors (991641300).

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

532636140 is a wasteful number, since it uses less digits than its factorization.

532636140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 532636140 is about 23078.9111528252. The cubic root of 532636140 is about 810.6067394270.

The spelling of 532636140 in words is "five hundred thirty-two million, six hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 269 305 366 538 541 610 732 807 915 1076 1082 1220 1345 1614 1623 1830 2164 2690 2705 3228 3246 3660 4035 5380 5410 6492 8070 8115 10820 16140 16230 16409 32460 32818 33001 49227 65636 66002 82045 98454 99003 132004 145529 164090 165005 196908 198006 246135 291058 328180 330010 396012 436587 492270 495015 582116 660020 727645 873174 984540 990030 1455290 1746348 1980060 2182935 2910580 4365870 8731740 8877269 17754538 26631807 35509076 44386345 53263614 88772690 106527228 133159035 177545380 266318070 532636140