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20120576 = 21072401
BaseRepresentation
bin100110011000…
…0010000000000
31101212020020112
41030300100000
520122324301
61555130452
7333010400
oct114602000
941766215
1020120576
11103a2983
1268a3a28
134226288
14295a800
151b769bb
hex1330400

20120576 has 66 divisors (see below), whose sum is σ = 46904958. Its totient is φ = 8601600.

The previous prime is 20120543. The next prime is 20120623. The reversal of 20120576 is 67502102.

It can be written as a sum of positive squares in only one way, i.e., 20070400 + 50176 = 4480^2 + 224^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 49976 + ... + 50376.

Almost surely, 220120576 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 20120576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23452479).

20120576 is an abundant number, since it is smaller than the sum of its proper divisors (26784382).

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

20120576 is an equidigital number, since it uses as much as digits as its factorization.

20120576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 20120576 is about 4485.5965043682. The cubic root of 20120576 is about 271.9861584652.

Adding to 20120576 its reverse (67502102), we get a palindrome (87622678).

The spelling of 20120576 in words is "twenty million, one hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 401 448 512 784 802 896 1024 1568 1604 1792 2807 3136 3208 3584 5614 6272 6416 7168 11228 12544 12832 19649 22456 25088 25664 39298 44912 50176 51328 78596 89824 102656 157192 179648 205312 314384 359296 410624 628768 718592 1257536 1437184 2515072 2874368 5030144 10060288 20120576