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20488416 = 2531316417
BaseRepresentation
bin100111000101…
…0000011100000
31102112220211020
41032022003200
520221112131
62011045440
7336101664
oct116120340
942486736
1020488416
1110624283
126a40880
134324830
142a148a4
151bea996
hex138a0e0

20488416 has 48 divisors (see below), whose sum is σ = 57922704. Its totient is φ = 6303744.

The previous prime is 20488411. The next prime is 20488421. The reversal of 20488416 is 61488402.

20488416 = 5342 + 5352 + ... + 5972.

It is an interprime number because it is at equal distance from previous prime (20488411) and next prime (20488421).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20488411) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6961 + ... + 9456.

It is an arithmetic number, because the mean of its divisors is an integer number (1206723).

Almost surely, 220488416 is an apocalyptic number.

20488416 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20488416 is an abundant number, since it is smaller than the sum of its proper divisors (37434288).

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

20488416 is a wasteful number, since it uses less digits than its factorization.

20488416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16443 (or 16435 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 20488416 is about 4526.4131495037. The cubic root of 20488416 is about 273.6336233087.

The spelling of 20488416 in words is "twenty million, four hundred eighty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 16417 32834 49251 65668 98502 131336 197004 213421 262672 394008 426842 525344 640263 788016 853684 1280526 1576032 1707368 2561052 3414736 5122104 6829472 10244208 20488416