Search a number
-
+
897667920 = 243451923317
BaseRepresentation
bin110101100000010…
…101001101010000
32022120010020220000
4311200111031100
53314300333140
6225024050000
731150023432
oct6540251520
92276106800
10897667920
1142078a216
12210763900
13113c8b066
1487310652
1553c1aa30
hex35815350

897667920 has 400 divisors, whose sum is σ = 3435315840. Its totient is φ = 216235008.

The previous prime is 897667913. The next prime is 897667921. The reversal of 897667920 is 29766798.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (897667921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2831602 + ... + 2831918.

Almost surely, 2897667920 is an apocalyptic number.

897667920 is a gapful number since it is divisible by the number (80) 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 897667920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1717657920).

897667920 is an abundant number, since it is smaller than the sum of its proper divisors (2537647920).

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

897667920 is a wasteful number, since it uses less digits than its factorization.

897667920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 897667920 is about 29961.1067886352. The cubic root of 897667920 is about 964.6547379133.

The spelling of 897667920 in words is "eight hundred ninety-seven million, six hundred sixty-seven thousand, nine hundred twenty".