Search a number
-
+
1000065528 = 233671117131
BaseRepresentation
bin111011100110111…
…100100111111000
32120200210121000000
4323212330213320
54022004044103
6243122513000
733532262640
oct7346744770
92520717000
101000065528
11473569040
1223ab05760
1312c260c67
1496b67520
155cbe5aa3
hex3b9bc9f8

1000065528 has 448 divisors, whose sum is σ = 3739633920. Its totient is φ = 242611200.

The previous prime is 1000065523. The next prime is 1000065559. The reversal of 1000065528 is 8255600001.

1000065528 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 0 + 655 + 2 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000065523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 7634023 + ... + 7634153.

Almost surely, 21000065528 is an apocalyptic number.

1000065528 is a gapful number since it is divisible by the number (18) 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 1000065528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869816960).

1000065528 is an abundant number, since it is smaller than the sum of its proper divisors (2739568392).

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

1000065528 is a wasteful number, since it uses less digits than its factorization.

1000065528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1000065528 is about 31623.8126733637. The cubic root of 1000065528 is about 1000.0218421896.

Adding to 1000065528 its reverse (8255600001), we get a palindrome (9255665529).

The spelling of 1000065528 in words is "one billion, sixty-five thousand, five hundred twenty-eight".