Search a number
-
+
75064920 = 2335789363
BaseRepresentation
bin1000111100101…
…10011001011000
312020020200201020
410132112121120
5123204034140
611240522440
71601020110
oct436263130
9166220636
1075064920
1139410427
1221180420
1312723018
149d80040
1568cb6d0
hex4796658

75064920 has 64 divisors (see below), whose sum is σ = 257368320. Its totient is φ = 17157504.

The previous prime is 75064909. The next prime is 75064943. The reversal of 75064920 is 2946057.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43842 + ... + 45521.

It is an arithmetic number, because the mean of its divisors is an integer number (4021380).

Almost surely, 275064920 is an apocalyptic number.

75064920 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

75064920 is an abundant number, since it is smaller than the sum of its proper divisors (182303400).

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

75064920 is a wasteful number, since it uses less digits than its factorization.

75064920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89384 (or 89380 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 75064920 is about 8664.0013850414. The cubic root of 75064920 is about 421.8379767784.

The spelling of 75064920 in words is "seventy-five million, sixty-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 89363 178726 268089 357452 446815 536178 625541 714904 893630 1072356 1251082 1340445 1787260 1876623 2144712 2502164 2680890 3127705 3574520 3753246 5004328 5361780 6255410 7506492 9383115 10723560 12510820 15012984 18766230 25021640 37532460 75064920