Search a number
-
+
20120152400 = 245250300381
BaseRepresentation
bin10010101111010000…
…010010100101010000
31220221012121122100122
4102233100102211100
5312201224334100
613124300405412
71311411321305
oct225720224520
956835548318
1020120152400
118595335327
123a96246868
131b8855602a
14d8c2410ac
157cb5a1985
hex4af412950

20120152400 has 30 divisors (see below), whose sum is σ = 48338667102. Its totient is φ = 8048060800.

The previous prime is 20120152399. The next prime is 20120152427. The reversal of 20120152400 is 425102102.

It can be written as a sum of positive squares in 3 ways, for example, as 104693824 + 20015458576 = 10232^2 + 141476^2 .

It is a congruent number.

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, 25149791 + ... + 25150590.

Almost surely, 220120152400 is an apocalyptic number.

20120152400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20120152400 is an abundant number, since it is smaller than the sum of its proper divisors (28218514702).

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

20120152400 is a wasteful number, since it uses less digits than its factorization.

20120152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50300399 (or 50300388 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

Adding to 20120152400 its reverse (425102102), we get a palindrome (20545254502).

The spelling of 20120152400 in words is "twenty billion, one hundred twenty million, one hundred fifty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 50300381 100600762 201201524 251501905 402403048 503003810 804806096 1006007620 1257509525 2012015240 2515019050 4024030480 5030038100 10060076200 20120152400