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5742360 = 2333513409
BaseRepresentation
bin10101111001111100011000
3101210202001000
4111321330120
52432223420
6323025000
766544401
oct25717430
911722030
105742360
113272358
121b0b160
131260960
14a969a8
15786690
hex579f18

5742360 has 128 divisors (see below), whose sum is σ = 20664000. Its totient is φ = 1410048.

The previous prime is 5742287. The next prime is 5742361. The reversal of 5742360 is 632475.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742361) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13836 + ... + 14244.

Almost surely, 25742360 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 5742360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10332000).

5742360 is an abundant number, since it is smaller than the sum of its proper divisors (14921640).

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

5742360 is a wasteful number, since it uses less digits than its factorization.

5742360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5742360 is about 2396.3221820114. The cubic root of 5742360 is about 179.0730120470.

The spelling of 5742360 in words is "five million, seven hundred forty-two thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 409 468 520 540 585 702 780 818 936 1080 1170 1227 1404 1560 1636 1755 2045 2340 2454 2808 3272 3510 3681 4090 4680 4908 5317 6135 7020 7362 8180 9816 10634 11043 12270 14040 14724 15951 16360 18405 21268 22086 24540 26585 29448 31902 36810 42536 44172 47853 49080 53170 55215 63804 73620 79755 88344 95706 106340 110430 127608 143559 147240 159510 191412 212680 220860 239265 287118 319020 382824 441720 478530 574236 638040 717795 957060 1148472 1435590 1914120 2871180 5742360