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196540764 = 223721572129
BaseRepresentation
bin10111011011011…
…11100101011100
3111200211022020120
423231233211130
5400303301024
631300314540
74604366100
oct1355574534
9450738216
10196540764
11a0a3aa92
12559a2a50
1331945914
141c161900
15123c4479
hexbb6f95c

196540764 has 72 divisors (see below), whose sum is σ = 537117840. Its totient is φ = 55770624.

The previous prime is 196540753. The next prime is 196540783. The reversal of 196540764 is 467045691.

196540764 is digitally balanced in base 3 and base 9, because in such bases 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 (42).

196540764 is strictly pandigital in base 9.

It is a congruent number.

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, 91252 + ... + 93380.

It is an arithmetic number, because the mean of its divisors is an integer number (7459970).

Almost surely, 2196540764 is an apocalyptic number.

196540764 is a gapful number since it is divisible by the number (14) 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 196540764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268558920).

196540764 is an abundant number, since it is smaller than the sum of its proper divisors (340577076).

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

196540764 is a wasteful number, since it uses less digits than its factorization.

196540764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2307 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 196540764 is about 14019.2996972031. The cubic root of 196540764 is about 581.4122974699.

The spelling of 196540764 in words is "one hundred ninety-six million, five hundred forty thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 157 196 294 314 471 588 628 942 1099 1884 2129 2198 3297 4258 4396 6387 6594 7693 8516 12774 13188 14903 15386 23079 25548 29806 30772 44709 46158 59612 89418 92316 104321 178836 208642 312963 334253 417284 625926 668506 1002759 1251852 1337012 2005518 2339771 4011036 4679542 7019313 9359084 14038626 16378397 28077252 32756794 49135191 65513588 98270382 196540764