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197379072 = 2103311259
BaseRepresentation
bin10111100001111…
…00010000000000
3111202101220012000
423300330100000
5401012112242
631330304000
74614460122
oct1360742000
9452356160
10197379072
11a1462900
1256128000
1331b7a367
141c2dd212
15124dca4c
hexbc3c400

197379072 has 264 divisors, whose sum is σ = 653402400. Its totient is φ = 58798080.

The previous prime is 197379059. The next prime is 197379089. The reversal of 197379072 is 270973791.

It is a tau number, because it is divible by the number of its divisors (264).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3345379 + ... + 3345437.

Almost surely, 2197379072 is an apocalyptic number.

197379072 is a gapful number since it is divisible by the number (12) 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 197379072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (326701200).

197379072 is an abundant number, since it is smaller than the sum of its proper divisors (456023328).

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

197379072 is a wasteful number, since it uses less digits than its factorization.

197379072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 197379072 is about 14049.1662386065. The cubic root of 197379072 is about 582.2377602269.

The spelling of 197379072 in words is "one hundred ninety-seven million, three hundred seventy-nine thousand, seventy-two".