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532211420 = 2251321011559
BaseRepresentation
bin11111101110001…
…110011011011100
31101002110010211002
4133232032123130
52042221231140
6124451045432
716121502536
oct3756163334
91332403732
10532211420
11253468354
1212a2a0878
1386352800
145097c856
1531acc415
hex1fb8e6dc

532211420 has 72 divisors (see below), whose sum is σ = 1222996320. Its totient is φ = 194438400.

The previous prime is 532211417. The next prime is 532211431. The reversal of 532211420 is 24112235.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 532211392 and 532211401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 340601 + ... + 342159.

It is an arithmetic number, because the mean of its divisors is an integer number (16986060).

Almost surely, 2532211420 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 532211420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611498160).

532211420 is an abundant number, since it is smaller than the sum of its proper divisors (690784900).

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

532211420 is a wasteful number, since it uses less digits than its factorization.

532211420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1695 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 532211420 is about 23069.7078438371. The cubic root of 532211420 is about 810.3912249209.

Adding to 532211420 its reverse (24112235), we get a palindrome (556323655).

The spelling of 532211420 in words is "five hundred thirty-two million, two hundred eleven thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 169 202 260 338 404 505 676 845 1010 1313 1559 1690 2020 2626 3118 3380 5252 6236 6565 7795 13130 15590 17069 20267 26260 31180 34138 40534 68276 81068 85345 101335 157459 170690 202670 263471 314918 341380 405340 526942 629836 787295 1053884 1317355 1574590 2046967 2634710 3149180 4093934 5269420 8187868 10234835 20469670 26610571 40939340 53221142 106442284 133052855 266105710 532211420