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75430300 = 225211471459
BaseRepresentation
bin1000111111011…
…11100110011100
312020221020220211
410133233212130
5123302232200
611252422204
71604101261
oct437574634
9166836824
1075430300
113963a9a0
1221317964
131282041a
14a037268
15694eaba
hex47ef99c

75430300 has 72 divisors (see below), whose sum is σ = 182488320. Its totient is φ = 26827200.

The previous prime is 75430279. The next prime is 75430301. The reversal of 75430300 is 303457.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75430301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50971 + ... + 52429.

It is an arithmetic number, because the mean of its divisors is an integer number (2534560).

Almost surely, 275430300 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 75430300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91244160).

75430300 is an abundant number, since it is smaller than the sum of its proper divisors (107058020).

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

75430300 is a wasteful number, since it uses less digits than its factorization.

75430300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 22.

The square root of 75430300 is about 8685.0618880927. The cubic root of 75430300 is about 422.5213042022.

Adding to 75430300 its reverse (303457), we get a palindrome (75733757).

The spelling of 75430300 in words is "seventy-five million, four hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 47 50 55 94 100 110 188 220 235 275 470 517 550 940 1034 1100 1175 1459 2068 2350 2585 2918 4700 5170 5836 7295 10340 12925 14590 16049 25850 29180 32098 36475 51700 64196 68573 72950 80245 137146 145900 160490 274292 320980 342865 401225 685730 754303 802450 1371460 1508606 1604900 1714325 3017212 3428650 3771515 6857300 7543030 15086060 18857575 37715150 75430300