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5737920 = 263543139
BaseRepresentation
bin10101111000110111000000
3101210111221120
4111320313000
52432103140
6322552240
766525426
oct25706700
911714846
105737920
113269a91
121b08680
13125b926
14a95116
157851d0
hex578dc0

5737920 has 112 divisors (see below), whose sum is σ = 18775680. Its totient is φ = 1483776.

The previous prime is 5737889. The next prime is 5737951. The reversal of 5737920 is 297375.

5737920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (5737889) and next prime (5737951).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41211 + ... + 41349.

It is an arithmetic number, because the mean of its divisors is an integer number (167640).

Almost surely, 25737920 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 5737920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9387840).

5737920 is an abundant number, since it is smaller than the sum of its proper divisors (13037760).

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

5737920 is a wasteful number, since it uses less digits than its factorization.

5737920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 13230, while the sum is 33.

The square root of 5737920 is about 2395.3955831971. The cubic root of 5737920 is about 179.0268469870.

The spelling of 5737920 in words is "five million, seven hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 129 139 160 172 192 215 240 258 278 320 344 417 430 480 516 556 645 688 695 834 860 960 1032 1112 1290 1376 1390 1668 1720 2064 2085 2224 2580 2752 2780 3336 3440 4128 4170 4448 5160 5560 5977 6672 6880 8256 8340 8896 10320 11120 11954 13344 13760 16680 17931 20640 22240 23908 26688 29885 33360 35862 41280 44480 47816 59770 66720 71724 89655 95632 119540 133440 143448 179310 191264 239080 286896 358620 382528 478160 573792 717240 956320 1147584 1434480 1912640 2868960 5737920