Search a number
-
+
196374560 = 2559712653
BaseRepresentation
bin10111011010001…
…11000000100000
3111200111212020212
423231013000200
5400232441220
631252553252
74603104404
oct1355070040
9450455225
10196374560
11a0937128
1255922828
13318b8085
141c11b104
15123900c5
hexbb47020

196374560 has 48 divisors (see below), whose sum is σ = 468754776. Its totient is φ = 77733888.

The previous prime is 196374559. The next prime is 196374571. The reversal of 196374560 is 65473691.

It can be written as a sum of positive squares in 4 ways, for example, as 85451536 + 110923024 = 9244^2 + 10532^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9194 + ... + 21846.

Almost surely, 2196374560 is an apocalyptic number.

196374560 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 196374560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234377388).

196374560 is an abundant number, since it is smaller than the sum of its proper divisors (272380216).

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

196374560 is a wasteful number, since it uses less digits than its factorization.

196374560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12765 (or 12757 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 41.

The square root of 196374560 is about 14013.3707579583. The cubic root of 196374560 is about 581.2483615015.

The spelling of 196374560 in words is "one hundred ninety-six million, three hundred seventy-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 97 160 194 388 485 776 970 1552 1940 3104 3880 7760 12653 15520 25306 50612 63265 101224 126530 202448 253060 404896 506120 1012240 1227341 2024480 2454682 4909364 6136705 9818728 12273410 19637456 24546820 39274912 49093640 98187280 196374560