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75713430 = 23513832339
BaseRepresentation
bin1001000001101…
…00101110010110
312021110122022010
410200310232112
5123340312210
611302445050
71606360602
oct440645626
9167418263
1075713430
1139813691
1221433786
13128bc260
14a0ac502
1569a8920
hex4834b96

75713430 has 64 divisors (see below), whose sum is σ = 198132480. Its totient is φ = 18404736.

The previous prime is 75713413. The next prime is 75713431. The reversal of 75713430 is 3431757.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75713431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31201 + ... + 33539.

It is an arithmetic number, because the mean of its divisors is an integer number (3095820).

Almost surely, 275713430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75713430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99066240).

75713430 is an abundant number, since it is smaller than the sum of its proper divisors (122419050).

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

75713430 is a wasteful number, since it uses less digits than its factorization.

75713430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2445.

The product of its (nonzero) digits is 8820, while the sum is 30.

The square root of 75713430 is about 8701.3464475333. The cubic root of 75713430 is about 423.0492931395.

The spelling of 75713430 in words is "seventy-five million, seven hundred thirteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 83 130 166 195 249 390 415 498 830 1079 1245 2158 2339 2490 3237 4678 5395 6474 7017 10790 11695 14034 16185 23390 30407 32370 35085 60814 70170 91221 152035 182442 194137 304070 388274 456105 582411 912210 970685 1164822 1941370 2523781 2912055 5047562 5824110 7571343 12618905 15142686 25237810 37856715 75713430