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20047360 = 29541191
BaseRepresentation
bin100110001111…
…0011000000000
31101201111210211
41030132120000
520113003420
61553403504
7332254054
oct114363000
941644724
1020047360
1110352973
126869594
1341cbb58
14293bc64
151b5ee5a
hex131e600

20047360 has 80 divisors (see below), whose sum is σ = 49496832. Its totient is φ = 7782400.

The previous prime is 20047327. The next prime is 20047361. The reversal of 20047360 is 6374002.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20047361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104865 + ... + 105055.

Almost surely, 220047360 is an apocalyptic number.

20047360 is a gapful number since it is divisible by the number (20) 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 20047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24748416).

20047360 is an abundant number, since it is smaller than the sum of its proper divisors (29449472).

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

20047360 is an equidigital number, since it uses as much as digits as its factorization.

20047360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 239 counting only the distinct ones).

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

The square root of 20047360 is about 4477.4278330309. The cubic root of 20047360 is about 271.6558507912.

The spelling of 20047360 in words is "twenty million, forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 191 205 256 320 328 382 410 512 640 656 764 820 955 1280 1312 1528 1640 1910 2560 2624 3056 3280 3820 5248 6112 6560 7640 7831 10496 12224 13120 15280 15662 20992 24448 26240 30560 31324 39155 48896 52480 61120 62648 78310 97792 104960 122240 125296 156620 244480 250592 313240 488960 501184 626480 1002368 1252960 2004736 2505920 4009472 5011840 10023680 20047360