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75230064 = 24327135741
BaseRepresentation
bin1000111101111…
…10101101110000
312020120002020200
410132332231300
5123224330224
611244235200
71602305430
oct436765560
9166502220
1075230064
1139513508
122123bb00
1312780240
149dc42c0
1569105c9
hex47beb70

75230064 has 120 divisors (see below), whose sum is σ = 259170912. Its totient is φ = 19837440.

The previous prime is 75230059. The next prime is 75230069. The reversal of 75230064 is 46003257.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (75230059) and next prime (75230069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75230069) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10234 + ... + 15974.

Almost surely, 275230064 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 75230064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129585456).

75230064 is an abundant number, since it is smaller than the sum of its proper divisors (183940848).

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

75230064 is a wasteful number, since it uses less digits than its factorization.

75230064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5775 (or 5766 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 75230064 is about 8673.5266183946. The cubic root of 75230064 is about 422.1471002495.

The spelling of 75230064 in words is "seventy-five million, two hundred thirty thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 36 39 42 48 52 56 63 72 78 84 91 104 112 117 126 144 156 168 182 208 234 252 273 312 336 364 468 504 546 624 728 819 936 1008 1092 1456 1638 1872 2184 3276 4368 5741 6552 11482 13104 17223 22964 34446 40187 45928 51669 68892 74633 80374 91856 103338 120561 137784 149266 160748 206676 223899 241122 275568 298532 321496 361683 413352 447798 482244 522431 597064 642992 671697 723366 826704 895596 964488 1044862 1194128 1343394 1446732 1567293 1791192 1928976 2089724 2686788 2893464 3134586 3582384 4179448 4701879 5373576 5786928 6269172 8358896 9403758 10747152 12538344 18807516 25076688 37615032 75230064