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58400320 = 2651147353
BaseRepresentation
bin1101111011000…
…1111001000000
311001220001011211
43132301321000
5104422302240
65443415504
71306252216
oct336617100
9131801154
1058400320
112aa69030
1217684594
13c139b04
147a82cb6
1551d8bea
hex37b1e40

58400320 has 112 divisors (see below), whose sum is σ = 155374848. Its totient is φ = 20725760.

The previous prime is 58400317. The next prime is 58400323. The reversal of 58400320 is 2300485.

58400320 = T1 + T2 + ... + T704.

58400320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

58400320 is a nontrivial binomial coefficient, being equal to C(706, 3).

It is an interprime number because it is at equal distance from previous prime (58400317) and next prime (58400323).

It is a super-2 number, since 2×584003202 = 6821194752204800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 58400291 and 58400300.

It is not an unprimeable number, because it can be changed into a prime (58400323) by changing a digit.

It is the 704-th tetrahedral 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 15 ways as a sum of consecutive naturals, for example, 165264 + ... + 165616.

Almost surely, 258400320 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 58400320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77687424).

58400320 is an abundant number, since it is smaller than the sum of its proper divisors (96974528).

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

58400320 is a wasteful number, since it uses less digits than its factorization.

58400320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 58400320 is about 7642.0102067453. The cubic root of 58400320 is about 387.9761915458.

The spelling of 58400320 in words is "fifty-eight million, four hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 64 80 88 94 110 160 176 188 220 235 320 352 353 376 440 470 517 704 706 752 880 940 1034 1412 1504 1760 1765 1880 2068 2585 2824 3008 3520 3530 3760 3883 4136 5170 5648 7060 7520 7766 8272 10340 11296 14120 15040 15532 16544 16591 19415 20680 22592 28240 31064 33088 33182 38830 41360 56480 62128 66364 77660 82720 82955 112960 124256 132728 155320 165440 165910 182501 248512 265456 310640 331820 365002 530912 621280 663640 730004 912505 1061824 1242560 1327280 1460008 1825010 2654560 2920016 3650020 5309120 5840032 7300040 11680064 14600080 29200160 58400320