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75020460 = 22353747719
BaseRepresentation
bin1000111100010…
…11100010101100
312020011102201120
410132023202230
5123201123320
611235540540
71600443354
oct436134254
9166142646
1075020460
113938aa89
122115a750
1312708a08
149d6bb64
1568bd440
hex478b8ac

75020460 has 96 divisors (see below), whose sum is σ = 220631040. Its totient is φ = 19024128.

The previous prime is 75020459. The next prime is 75020467. The reversal of 75020460 is 6402057.

It is a happy number.

It is a super-2 number, since 2×750204602 = 11256138837223200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 75020460.

It is not an unprimeable number, because it can be changed into a prime (75020467) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 103981 + ... + 104699.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 275020460 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 75020460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110315520).

75020460 is an abundant number, since it is smaller than the sum of its proper divisors (145610580).

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

75020460 is a wasteful number, since it uses less digits than its factorization.

75020460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 75020460 is about 8661.4352159443. The cubic root of 75020460 is about 421.7546772361.

The spelling of 75020460 in words is "seventy-five million, twenty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 47 60 74 94 111 141 148 185 188 222 235 282 370 444 470 555 564 705 719 740 940 1110 1410 1438 1739 2157 2220 2820 2876 3478 3595 4314 5217 6956 7190 8628 8695 10434 10785 14380 17390 20868 21570 26085 26603 33793 34780 43140 52170 53206 67586 79809 101379 104340 106412 133015 135172 159618 168965 202758 266030 319236 337930 399045 405516 506895 532060 675860 798090 1013790 1250341 1596180 2027580 2500682 3751023 5001364 6251705 7502046 12503410 15004092 18755115 25006820 37510230 75020460