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75300420 = 223513195081
BaseRepresentation
bin1000111110011…
…11111001000100
312020200122202110
410133033321010
5123234103140
611245541020
71603020516
oct437177104
9166618673
1075300420
1139561358
1221274770
13127a6280
14a001bb6
156926380
hex47cfe44

75300420 has 96 divisors (see below), whose sum is σ = 239057280. Its totient is φ = 17556480.

The previous prime is 75300403. The next prime is 75300431. The reversal of 75300420 is 2400357.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12280 + ... + 17360.

It is an arithmetic number, because the mean of its divisors is an integer number (2490180).

Almost surely, 275300420 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 75300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119528640).

75300420 is an abundant number, since it is smaller than the sum of its proper divisors (163756860).

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

75300420 is a wasteful number, since it uses less digits than its factorization.

75300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5125 (or 5123 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 75300420 is about 8677.5814602918. The cubic root of 75300420 is about 422.2786581482.

Adding to 75300420 its reverse (2400357), we get a palindrome (77700777).

The spelling of 75300420 in words is "seventy-five million, three hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 190 195 228 247 260 285 380 390 494 570 741 780 988 1140 1235 1482 2470 2964 3705 4940 5081 7410 10162 14820 15243 20324 25405 30486 50810 60972 66053 76215 96539 101620 132106 152430 193078 198159 264212 289617 304860 330265 386156 396318 482695 579234 660530 792636 965390 990795 1158468 1255007 1321060 1448085 1930780 1981590 2510014 2896170 3765021 3963180 5020028 5792340 6275035 7530042 12550070 15060084 18825105 25100140 37650210 75300420