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20142504 = 2332377561
BaseRepresentation
bin100110011010…
…1100110101000
31101220100022200
41030311212220
520124030004
61555420200
7333131334
oct114654650
941810280
1020142504
11104083a8
1268b4660
134233255
1429647c4
151b7d239
hex13359a8

20142504 has 48 divisors (see below), whose sum is σ = 56034420. Its totient is φ = 6531840.

The previous prime is 20142481. The next prime is 20142509. The reversal of 20142504 is 40524102.

20142504 is a `hidden beast` number, since 20 + 142 + 504 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 19980900 + 161604 = 4470^2 + 402^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (20142509) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1117 + ... + 6444.

Almost surely, 220142504 is an apocalyptic number.

20142504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20142504 is an abundant number, since it is smaller than the sum of its proper divisors (35891916).

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

20142504 is a wasteful number, since it uses less digits than its factorization.

20142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7610 (or 7603 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20142504 is about 4488.0401067727. The cubic root of 20142504 is about 272.0849287849.

Adding to 20142504 its reverse (40524102), we get a palindrome (60666606).

The spelling of 20142504 in words is "twenty million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 37 72 74 111 148 222 296 333 444 666 888 1332 2664 7561 15122 22683 30244 45366 60488 68049 90732 136098 181464 272196 279757 544392 559514 839271 1119028 1678542 2238056 2517813 3357084 5035626 6714168 10071252 20142504