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197987328 = 2103471131
BaseRepresentation
bin10111100110100…
…00110000000000
3111210112210120000
423303100300000
5401141043303
631351320000
74622602350
oct1363206000
9453483500
10197987328
11a18388a0
1256380000
1332031186
141c41ab60
15125acda3
hexbcd0c00

197987328 has 440 divisors, whose sum is σ = 760894464. Its totient is φ = 49766400.

The previous prime is 197987327. The next prime is 197987329. The reversal of 197987328 is 823789791.

It is an interprime number because it is at equal distance from previous prime (197987327) and next prime (197987329).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1524096) is a multiple of the sum of its prime divisors (54).

It is not an unprimeable number, because it can be changed into a prime (197987327) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6386673 + ... + 6386703.

Almost surely, 2197987328 is an apocalyptic number.

197987328 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 197987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380447232).

197987328 is an abundant number, since it is smaller than the sum of its proper divisors (562907136).

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

197987328 is a wasteful number, since it uses less digits than its factorization.

197987328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 54 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 197987328 is about 14070.7969923526. The cubic root of 197987328 is about 582.8352339763.

The spelling of 197987328 in words is "one hundred ninety-seven million, nine hundred eighty-seven thousand, three hundred twenty-eight".