Search a number
-
+
20504924400 = 2435217087437
BaseRepresentation
bin10011000110001100…
…000101000011110000
31221221000122002022110
4103012030011003300
5313443230040100
613230403405320
71324062660462
oct230614050360
957830562273
1020504924400
11877254a214
123b83083840
131c1a19527c
14dc73a0132
15800258250
hex4c63050f0

20504924400 has 60 divisors (see below), whose sum is σ = 65684111672. Its totient is φ = 5467979520.

The previous prime is 20504924383. The next prime is 20504924413. The reversal of 20504924400 is 442940502.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8542519 + ... + 8544918.

Almost surely, 220504924400 is an apocalyptic number.

20504924400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20504924400 is an abundant number, since it is smaller than the sum of its proper divisors (45179187272).

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

20504924400 is a wasteful number, since it uses less digits than its factorization.

20504924400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17087458 (or 17087447 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 20504924400 in words is "twenty billion, five hundred four million, nine hundred twenty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 17087437 34174874 51262311 68349748 85437185 102524622 136699496 170874370 205049244 256311555 273398992 341748740 410098488 427185925 512623110 683497480 820196976 854371850 1025246220 1281557775 1366994960 1708743700 2050492440 2563115550 3417487400 4100984880 5126231100 6834974800 10252462200 20504924400