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75516090 = 23513227853
BaseRepresentation
bin1001000000001…
…00100010111010
312021002121121020
410200010202322
5123313003330
611254323310
71604606346
oct440044272
9167077536
1075516090
11396993a1
1221359536
13128504a0
14a05a626
15696a210
hex48048ba

75516090 has 64 divisors (see below), whose sum is σ = 196269696. Its totient is φ = 18484992.

The previous prime is 75516073. The next prime is 75516121. The reversal of 75516090 is 9061557.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88104 + ... + 88956.

It is an arithmetic number, because the mean of its divisors is an integer number (3066714).

Almost surely, 275516090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 75516090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98134848).

75516090 is an abundant number, since it is smaller than the sum of its proper divisors (120753606).

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

75516090 is a wasteful number, since it uses less digits than its factorization.

75516090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103.

The product of its (nonzero) digits is 9450, while the sum is 33.

The square root of 75516090 is about 8689.9994246260. Note that the first 3 decimals coincide. The cubic root of 75516090 is about 422.6814271643.

The spelling of 75516090 in words is "seventy-five million, five hundred sixteen thousand, ninety".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 227 390 454 681 853 1135 1362 1706 2270 2559 2951 3405 4265 5118 5902 6810 8530 8853 11089 12795 14755 17706 22178 25590 29510 33267 44265 55445 66534 88530 110890 166335 193631 332670 387262 580893 968155 1161786 1936310 2517203 2904465 5034406 5808930 7551609 12586015 15103218 25172030 37758045 75516090