Search a number
-
+
196700640 = 2535478719
BaseRepresentation
bin10111011100101…
…10100111100000
3111201010102112220
423232112213200
5400323410030
631303551040
74605633153
oct1356264740
9451112486
10196700640
11a103a114
1255a5b480
13319a0616
141c1a3c9a
1512406a10
hexbb969e0

196700640 has 96 divisors (see below), whose sum is σ = 632862720. Its totient is φ = 51331584.

The previous prime is 196700563. The next prime is 196700641. The reversal of 196700640 is 46007691.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1967006402 = 77382283552819200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196700641) 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, 18201 + ... + 26919.

It is an arithmetic number, because the mean of its divisors is an integer number (6592320).

Almost surely, 2196700640 is an apocalyptic number.

196700640 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 196700640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316431360).

196700640 is an abundant number, since it is smaller than the sum of its proper divisors (436162080).

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

196700640 is a wasteful number, since it uses less digits than its factorization.

196700640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8784 (or 8776 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 196700640 is about 14025.0005347593. Note that the first 3 decimals coincide. The cubic root of 196700640 is about 581.5699046037.

The spelling of 196700640 in words is "one hundred ninety-six million, seven hundred thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 80 94 96 120 141 160 188 235 240 282 376 470 480 564 705 752 940 1128 1410 1504 1880 2256 2820 3760 4512 5640 7520 8719 11280 17438 22560 26157 34876 43595 52314 69752 87190 104628 130785 139504 174380 209256 261570 279008 348760 409793 418512 523140 697520 819586 837024 1046280 1229379 1395040 1639172 2048965 2092560 2458758 3278344 4097930 4185120 4917516 6146895 6556688 8195860 9835032 12293790 13113376 16391720 19670064 24587580 32783440 39340128 49175160 65566880 98350320 196700640