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19048920 = 23351114431
BaseRepresentation
bin100100010101…
…0100111011000
31022211210012120
41020222213120
514334031140
61520141240
7320625132
oct110524730
938753176
1019048920
11a830810
126467820
133c3c567
14275c052
151a141d0
hex122a9d8

19048920 has 64 divisors (see below), whose sum is σ = 62346240. Its totient is φ = 4617600.

The previous prime is 19048901. The next prime is 19048921. The reversal of 19048920 is 2984091.

It is a super-2 number, since 2×190489202 = 725722706332800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19048921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5896 + ... + 8535.

It is an arithmetic number, because the mean of its divisors is an integer number (974160).

Almost surely, 219048920 is an apocalyptic number.

19048920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19048920 is an abundant number, since it is smaller than the sum of its proper divisors (43297320).

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

19048920 is a wasteful number, since it uses less digits than its factorization.

19048920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14456 (or 14452 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 19048920 is about 4364.5068449941. The cubic root of 19048920 is about 267.0689830034.

The spelling of 19048920 in words is "nineteen million, forty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 14431 28862 43293 57724 72155 86586 115448 144310 158741 173172 216465 288620 317482 346344 432930 476223 577240 634964 793705 865860 952446 1269928 1587410 1731720 1904892 2381115 3174820 3809784 4762230 6349640 9524460 19048920