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19903440 = 2435127653
BaseRepresentation
bin100101111101…
…1001111010000
31101110012101110
41023323033100
520043402230
61550333320
7331114344
oct113731720
941405343
1019903440
1110264827
1267ba240
13417b4ab
142901624
151b324b0
hex12fb3d0

19903440 has 80 divisors (see below), whose sum is σ = 62281728. Its totient is φ = 5257728.

The previous prime is 19903439. The next prime is 19903451. The reversal of 19903440 is 4430991.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×199034402 = 792293847667200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19903398 and 19903407.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30154 + ... + 30806.

Almost surely, 219903440 is an apocalyptic number.

19903440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19903440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31140864).

19903440 is an abundant number, since it is smaller than the sum of its proper divisors (42378288).

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

19903440 is a wasteful number, since it uses less digits than its factorization.

19903440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19903440 is about 4461.3271567999. The cubic root of 19903440 is about 271.0042164710.

The spelling of 19903440 in words is "nineteen million, nine hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 653 762 1016 1270 1306 1524 1905 1959 2032 2540 2612 3048 3265 3810 3918 5080 5224 6096 6530 7620 7836 9795 10160 10448 13060 15240 15672 19590 26120 30480 31344 39180 52240 78360 82931 156720 165862 248793 331724 414655 497586 663448 829310 995172 1243965 1326896 1658620 1990344 2487930 3317240 3980688 4975860 6634480 9951720 19903440