Search a number
-
+
69763072 = 2152129
BaseRepresentation
bin1000010100010…
…00000000000000
311212021022221111
410022020000000
5120324404242
610531133104
71504655611
oct412100000
9155238844
1069763072
113641a035
121b444194
13115b7a32
14939dc08
1561d0817
hex4288000

69763072 has 32 divisors (see below), whose sum is σ = 139589550. Its totient is φ = 34865152.

The previous prime is 69763069. The next prime is 69763073. The reversal of 69763072 is 27036796.

It can be written as a sum of positive squares in only one way, i.e., 65028096 + 4734976 = 8064^2 + 2176^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (69763073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 31704 + ... + 33832.

Almost surely, 269763072 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 69763072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69794775).

69763072 is an abundant number, since it is smaller than the sum of its proper divisors (69826478).

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

69763072 is an frugal number, since it uses more digits than its factorization.

69763072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 40.

The square root of 69763072 is about 8352.4291077506. The cubic root of 69763072 is about 411.6630292113.

The spelling of 69763072 in words is "sixty-nine million, seven hundred sixty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2129 4096 4258 8192 8516 16384 17032 32768 34064 68128 136256 272512 545024 1090048 2180096 4360192 8720384 17440768 34881536 69763072