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19444920 = 23351114731
BaseRepresentation
bin100101000101…
…1010010111000
31100120220102020
41022023102320
514434214140
61532434440
7324164505
oct112132270
940526366
1019444920
11aa81290
126618a20
13404a891
1428224ac
151a916d0
hex128b4b8

19444920 has 64 divisors (see below), whose sum is σ = 63642240. Its totient is φ = 4713600.

The previous prime is 19444883. The next prime is 19444933. The reversal of 19444920 is 2944491.

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

It is a congruent number.

It is an unprimeable number.

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, 6046 + ... + 8685.

It is an arithmetic number, because the mean of its divisors is an integer number (994410).

Almost surely, 219444920 is an apocalyptic number.

19444920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19444920 is an abundant number, since it is smaller than the sum of its proper divisors (44197320).

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

19444920 is a wasteful number, since it uses less digits than its factorization.

19444920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14756 (or 14752 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19444920 is about 4409.6394410428. The cubic root of 19444920 is about 268.9069665337.

The spelling of 19444920 in words is "nineteen million, four hundred forty-four 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 14731 29462 44193 58924 73655 88386 117848 147310 162041 176772 220965 294620 324082 353544 441930 486123 589240 648164 810205 883860 972246 1296328 1620410 1767720 1944492 2430615 3240820 3888984 4861230 6481640 9722460 19444920