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3789940 = 22571123107
BaseRepresentation
bin1110011101010001110100
321010112211011
432131101310
51432234230
6213122004
744133250
oct16352164
97115734
103789940
112159490
121329304
13a2908b
14709260
154ece2a
hex39d474

3789940 has 96 divisors (see below), whose sum is σ = 10450944. Its totient is φ = 1119360.

The previous prime is 3789937. The next prime is 3789953. The reversal of 3789940 is 499873.

It is a junction number, because it is equal to n+sod(n) for n = 3789893 and 3789902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35367 + ... + 35473.

It is an arithmetic number, because the mean of its divisors is an integer number (108864).

Almost surely, 23789940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3789940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5225472).

3789940 is an abundant number, since it is smaller than the sum of its proper divisors (6661004).

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

3789940 is a wasteful number, since it uses less digits than its factorization.

3789940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 3789940 is about 1946.7768233673. The cubic root of 3789940 is about 155.9112469073.

The spelling of 3789940 in words is "three million, seven hundred eighty-nine thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 23 28 35 44 46 55 70 77 92 107 110 115 140 154 161 214 220 230 253 308 322 385 428 460 506 535 644 749 770 805 1012 1070 1177 1265 1498 1540 1610 1771 2140 2354 2461 2530 2996 3220 3542 3745 4708 4922 5060 5885 7084 7490 8239 8855 9844 11770 12305 14980 16478 17227 17710 23540 24610 27071 32956 34454 35420 41195 49220 54142 68908 82390 86135 108284 135355 164780 172270 189497 270710 344540 378994 541420 757988 947485 1894970 3789940