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5752320 = 29357107
BaseRepresentation
bin10101111100011000000000
3101211020200220
4111330120000
52433033240
6323143040
766615420
oct25743000
911736626
105752320
113279892
121b14a80
131265352
14a9a480
157895d0
hex57c600

5752320 has 160 divisors (see below), whose sum is σ = 21212928. Its totient is φ = 1302528.

The previous prime is 5752319. The next prime is 5752321. The reversal of 5752320 is 232575.

It is an interprime number because it is at equal distance from previous prime (5752319) and next prime (5752321).

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5752321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53707 + ... + 53813.

Almost surely, 25752320 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 5752320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10606464).

5752320 is an abundant number, since it is smaller than the sum of its proper divisors (15460608).

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

5752320 is a wasteful number, since it uses less digits than its factorization.

5752320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5752320 is about 2398.3994663108. The cubic root of 5752320 is about 179.1764850097.

Adding to 5752320 its reverse (232575), we get a palindrome (5984895).

The spelling of 5752320 in words is "five million, seven hundred fifty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 107 112 120 128 140 160 168 192 210 214 224 240 256 280 320 321 336 384 420 428 448 480 512 535 560 640 642 672 749 768 840 856 896 960 1070 1120 1280 1284 1344 1498 1536 1605 1680 1712 1792 1920 2140 2240 2247 2560 2568 2688 2996 3210 3360 3424 3584 3745 3840 4280 4480 4494 5136 5376 5992 6420 6720 6848 7490 7680 8560 8960 8988 10272 10752 11235 11984 12840 13440 13696 14980 17120 17920 17976 20544 22470 23968 25680 26880 27392 29960 34240 35952 41088 44940 47936 51360 53760 54784 59920 68480 71904 82176 89880 95872 102720 119840 136960 143808 164352 179760 191744 205440 239680 273920 287616 359520 383488 410880 479360 575232 719040 821760 958720 1150464 1438080 1917440 2876160 5752320