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197991960 = 233510915137
BaseRepresentation
bin10111100110100…
…01111000011000
3111210120000220120
423303101320120
5401141220320
631351353240
74622622015
oct1363217030
9453500816
10197991960
11a1841321
1256382820
133203330a
141c41c70c
15125ae440
hexbcd1e18

197991960 has 64 divisors (see below), whose sum is σ = 599464800. Its totient is φ = 52310016.

The previous prime is 197991931. The next prime is 197991967. The reversal of 197991960 is 69199791.

197991960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197991967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512 + ... + 20648.

Almost surely, 2197991960 is an apocalyptic number.

197991960 is a gapful number since it is divisible by the number (10) 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 197991960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299732400).

197991960 is an abundant number, since it is smaller than the sum of its proper divisors (401472840).

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

197991960 is a wasteful number, since it uses less digits than its factorization.

197991960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15260 (or 15256 counting only the distinct ones).

The product of its (nonzero) digits is 275562, while the sum is 51.

The square root of 197991960 is about 14070.9615876101. The cubic root of 197991960 is about 582.8397791691.

It can be divided in two parts, 1979 and 91960, that added together give a palindrome (93939).

The spelling of 197991960 in words is "one hundred ninety-seven million, nine hundred ninety-one thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 109 120 218 327 436 545 654 872 1090 1308 1635 2180 2616 3270 4360 6540 13080 15137 30274 45411 60548 75685 90822 121096 151370 181644 227055 302740 363288 454110 605480 908220 1649933 1816440 3299866 4949799 6599732 8249665 9899598 13199464 16499330 19799196 24748995 32998660 39598392 49497990 65997320 98995980 197991960