Search a number
-
+
196153280 = 2653716567
BaseRepresentation
bin10111011000100…
…00111111000000
3111200002121201022
423230100333000
5400203401110
631244125012
74601163311
oct1354207700
9450077638
10196153280
11a07a5954
1255836768
133183b43b
141c0a0608
1512349755
hexbb10fc0

196153280 has 56 divisors (see below), whose sum is σ = 479743008. Its totient is φ = 76336128.

The previous prime is 196153277. The next prime is 196153289. The reversal of 196153280 is 82351691.

196153280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1961532802 = 76952218509516800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 196153280.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196153289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3557 + ... + 20123.

Almost surely, 2196153280 is an apocalyptic number.

196153280 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 196153280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239871504).

196153280 is an abundant number, since it is smaller than the sum of its proper divisors (283589728).

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

196153280 is a wasteful number, since it uses less digits than its factorization.

196153280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16621 (or 16611 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 196153280 is about 14005.4732158539. The cubic root of 196153280 is about 581.0299574849.

The spelling of 196153280 in words is "one hundred ninety-six million, one hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 148 160 185 296 320 370 592 740 1184 1480 2368 2960 5920 11840 16567 33134 66268 82835 132536 165670 265072 331340 530144 612979 662680 1060288 1225958 1325360 2451916 2650720 3064895 4903832 5301440 6129790 9807664 12259580 19615328 24519160 39230656 49038320 98076640 196153280