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5697360 = 2432541193
BaseRepresentation
bin10101101110111101010000
3101201110022100
4111232331100
52424303420
6322040400
766266244
oct25567520
911643270
105697360
113241569
121aa9100
131246326
14a84424
15778190
hex56ef50

5697360 has 120 divisors (see below), whose sum is σ = 19701864. Its totient is φ = 1474560.

The previous prime is 5697343. The next prime is 5697379. The reversal of 5697360 is 637965.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 51984 + 5645376 = 228^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29424 + ... + 29616.

Almost surely, 25697360 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 5697360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850932).

5697360 is an abundant number, since it is smaller than the sum of its proper divisors (14004504).

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

5697360 is a wasteful number, since it uses less digits than its factorization.

5697360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The square root of 5697360 is about 2386.9143260704. The cubic root of 5697360 is about 178.6040163003.

The spelling of 5697360 in words is "five million, six hundred ninety-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 193 205 240 246 328 360 369 386 410 492 579 615 656 720 738 772 820 965 984 1158 1230 1476 1544 1640 1737 1845 1930 1968 2316 2460 2895 2952 3088 3280 3474 3690 3860 4632 4920 5790 5904 6948 7380 7720 7913 8685 9264 9840 11580 13896 14760 15440 15826 17370 23160 23739 27792 29520 31652 34740 39565 46320 47478 63304 69480 71217 79130 94956 118695 126608 138960 142434 158260 189912 237390 284868 316520 356085 379824 474780 569736 633040 712170 949560 1139472 1424340 1899120 2848680 5697360