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20254480 = 2451753281
BaseRepresentation
bin100110101000…
…0111100010000
31102010000220221
41031100330100
520141120410
62002042424
7334105651
oct115207420
942100827
1020254480
1110484544
126949414
1342721cc
142993528
151ba14da
hex1350f10

20254480 has 80 divisors (see below), whose sum is σ = 50983344. Its totient is φ = 7454720.

The previous prime is 20254477. The next prime is 20254483. The reversal of 20254480 is 8445202.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20254477) and next prime (20254483).

It can be written as a sum of positive squares in 8 ways, for example, as 1557504 + 18696976 = 1248^2 + 4324^2 .

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 (20254483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71940 + ... + 72220.

Almost surely, 220254480 is an apocalyptic number.

20254480 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 20254480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25491672).

20254480 is an abundant number, since it is smaller than the sum of its proper divisors (30728864).

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

20254480 is a wasteful number, since it uses less digits than its factorization.

20254480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 20254480 is about 4500.4977502494. The cubic root of 20254480 is about 272.5881879372.

Adding to 20254480 its reverse (8445202), we get a palindrome (28699682).

The spelling of 20254480 in words is "twenty million, two hundred fifty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 53 68 80 85 106 136 170 212 265 272 281 340 424 530 562 680 848 901 1060 1124 1360 1405 1802 2120 2248 2810 3604 4240 4496 4505 4777 5620 7208 9010 9554 11240 14416 14893 18020 19108 22480 23885 29786 36040 38216 47770 59572 72080 74465 76432 95540 119144 148930 191080 238288 253181 297860 382160 506362 595720 1012724 1191440 1265905 2025448 2531810 4050896 5063620 10127240 20254480