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5739440 = 245737277
BaseRepresentation
bin10101111001001110110000
3101210121000212
4111321032300
52432130230
6323003252
766533030
oct25711660
911717025
105739440
113270143
121b09528
13125c525
14a958c0
15785895
hex5793b0

5739440 has 80 divisors (see below), whose sum is σ = 15719232. Its totient is φ = 1907712.

The previous prime is 5739439. The next prime is 5739451. The reversal of 5739440 is 449375.

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

It is a junction number, because it is equal to n+sod(n) for n = 5739397 and 5739406.

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, 20582 + ... + 20858.

Almost surely, 25739440 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 5739440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7859616).

5739440 is an abundant number, since it is smaller than the sum of its proper divisors (9979792).

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

5739440 is a wasteful number, since it uses less digits than its factorization.

5739440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 5739440 is about 2395.7128375496. The cubic root of 5739440 is about 179.0426539218.

The spelling of 5739440 in words is "five million, seven hundred thirty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 277 280 296 370 518 554 560 592 740 1036 1108 1295 1385 1480 1939 2072 2216 2590 2770 2960 3878 4144 4432 5180 5540 7756 9695 10249 10360 11080 15512 19390 20498 20720 22160 31024 38780 40996 51245 71743 77560 81992 102490 143486 155120 163984 204980 286972 358715 409960 573944 717430 819920 1147888 1434860 2869720 5739440