Search a number
-
+
196947360 = 25325136769
BaseRepresentation
bin10111011110100…
…10110110100000
3111201120221222200
423233102312200
5400404303420
631313133200
74611011361
oct1357226640
9451527880
10196947360
11a1198515
1255b5a200
1331a589cc
141c229b68
1512454b90
hexbbd2da0

196947360 has 72 divisors (see below), whose sum is σ = 672087780. Its totient is φ = 52518912.

The previous prime is 196947347. The next prime is 196947379. The reversal of 196947360 is 63749691.

It can be written as a sum of positive squares in 2 ways, for example, as 158457744 + 38489616 = 12588^2 + 6204^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1969473602 = 77576525221939200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66945 + ... + 69824.

Almost surely, 2196947360 is an apocalyptic number.

196947360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

196947360 is an abundant number, since it is smaller than the sum of its proper divisors (475140420).

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

196947360 is a wasteful number, since it uses less digits than its factorization.

196947360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136790 (or 136779 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 196947360 is about 14033.7934999771. The cubic root of 196947360 is about 581.8129558006.

The spelling of 196947360 in words is "one hundred ninety-six million, nine hundred forty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 136769 273538 410307 547076 683845 820614 1094152 1230921 1367690 1641228 2051535 2188304 2461842 2735380 3282456 4103070 4376608 4923684 5470760 6154605 6564912 8206140 9847368 10941520 12309210 13129824 16412280 19694736 21883040 24618420 32824560 39389472 49236840 65649120 98473680 196947360