Search a number
-
+
63690432 = 26313171979
BaseRepresentation
bin1111001011110…
…1011011000000
311102211210211220
43302331123000
5112301043212
610153035040
71402234251
oct362753300
9142753756
1063690432
1132a51623
12193b5a80
131026c960
14865cb28
1558d138c
hex3cbd6c0

63690432 has 224 divisors, whose sum is σ = 204825600. Its totient is φ = 17252352.

The previous prime is 63690421. The next prime is 63690437. The reversal of 63690432 is 23409636.

It is a super-2 number, since 2×636904322 = 8112942256693248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 63690393 and 63690402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63690437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806169 + ... + 806247.

It is an arithmetic number, because the mean of its divisors is an integer number (914400).

Almost surely, 263690432 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 63690432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102412800).

63690432 is an abundant number, since it is smaller than the sum of its proper divisors (141135168).

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

63690432 is a wasteful number, since it uses less digits than its factorization.

63690432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 33.

The square root of 63690432 is about 7980.6285466748. The cubic root of 63690432 is about 399.3540240158.

The spelling of 63690432 in words is "sixty-three million, six hundred ninety thousand, four hundred thirty-two".