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197998128 = 24336772
BaseRepresentation
bin10111100110100…
…11011000110000
3111210120100101000
423303103120300
5401141420003
631351442000
74622646006
oct1363233060
9453510330
10197998128
11a1845a19
1256386300
1332036073
141c420a76
15125b11a3
hexbcd3630

197998128 has 60 divisors (see below), whose sum is σ = 569168680. Its totient is φ = 65901888.

The previous prime is 197998123. The next prime is 197998181. The reversal of 197998128 is 821899791.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

197998128 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (197998123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 292126 + ... + 292802.

Almost surely, 2197998128 is an apocalyptic number.

197998128 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 197998128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284584340).

197998128 is an abundant number, since it is smaller than the sum of its proper divisors (371170552).

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

197998128 is an frugal number, since it uses more digits than its factorization.

197998128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1371 (or 682 counting only the distinct ones).

The product of its digits is 653184, while the sum is 54.

The square root of 197998128 is about 14071.1807606896. The cubic root of 197998128 is about 582.8458314661.

The spelling of 197998128 in words is "one hundred ninety-seven million, nine hundred ninety-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 677 1354 2031 2708 4062 5416 6093 8124 10832 12186 16248 18279 24372 32496 36558 48744 73116 97488 146232 292464 458329 916658 1374987 1833316 2749974 3666632 4124961 5499948 7333264 8249922 10999896 12374883 16499844 21999792 24749766 32999688 49499532 65999376 98999064 197998128