Search a number
-
+
965330016 = 25375572579
BaseRepresentation
bin111001100010011…
…100010001100000
32111021102211211120
4321202130101200
53434111030031
6235442212240
732631112140
oct7142342140
92437384746
10965330016
114559a3802
1222b354080
13124cbb6c1
14922c4920
1559b33a96
hex3989c460

965330016 has 96 divisors (see below), whose sum is σ = 2902314240. Its totient is φ = 275206656.

The previous prime is 965329943. The next prime is 965330021. The reversal of 965330016 is 610033569.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 373015 + ... + 375593.

It is an arithmetic number, because the mean of its divisors is an integer number (30232440).

Almost surely, 2965330016 is an apocalyptic number.

965330016 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 965330016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451157120).

965330016 is an abundant number, since it is smaller than the sum of its proper divisors (1936984224).

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

965330016 is a wasteful number, since it uses less digits than its factorization.

965330016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156 (or 3148 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 33.

The square root of 965330016 is about 31069.7604754205. The cubic root of 965330016 is about 988.3071487903.

The spelling of 965330016 in words is "nine hundred sixty-five million, three hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 557 672 1114 1671 2228 2579 3342 3899 4456 5158 6684 7737 7798 8912 10316 11697 13368 15474 15596 17824 18053 20632 23394 26736 30948 31192 36106 41264 46788 53472 54159 61896 62384 72212 82528 93576 108318 123792 124768 144424 187152 216636 247584 288848 374304 433272 577696 866544 1436503 1733088 2873006 4309509 5746012 8619018 10055521 11492024 17238036 20111042 22984048 30166563 34476072 40222084 45968096 60333126 68952144 80444168 120666252 137904288 160888336 241332504 321776672 482665008 965330016