Search a number
-
+
196988520 = 233517611583
BaseRepresentation
bin10111011110111…
…00111001101000
3111201200001110010
423233130321220
5400412113040
631314051520
74611242361
oct1357347150
9451601403
10196988520
11a1216433
1255b79ba0
1331a71671
141c23ab68
1512461e80
hexbbdce68

196988520 has 128 divisors (see below), whose sum is σ = 636387840. Its totient is φ = 48599040.

The previous prime is 196988507. The next prime is 196988521. The reversal of 196988520 is 25889691.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 196988520.

It is not an unprimeable number, because it can be changed into a prime (196988521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123649 + ... + 125231.

It is an arithmetic number, because the mean of its divisors is an integer number (4971780).

Almost surely, 2196988520 is an apocalyptic number.

196988520 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 196988520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318193920).

196988520 is an abundant number, since it is smaller than the sum of its proper divisors (439399320).

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

196988520 is a wasteful number, since it uses less digits than its factorization.

196988520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1675 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 196988520 is about 14035.2598835932. The cubic root of 196988520 is about 581.8534839790.

The spelling of 196988520 in words is "one hundred ninety-six million, nine hundred eighty-eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 61 68 85 102 120 122 136 170 183 204 244 255 305 340 366 408 488 510 610 680 732 915 1020 1037 1220 1464 1583 1830 2040 2074 2440 3111 3166 3660 4148 4749 5185 6222 6332 7320 7915 8296 9498 10370 12444 12664 15555 15830 18996 20740 23745 24888 26911 31110 31660 37992 41480 47490 53822 62220 63320 80733 94980 96563 107644 124440 134555 161466 189960 193126 215288 269110 289689 322932 386252 403665 482815 538220 579378 645864 772504 807330 965630 1076440 1158756 1448445 1614660 1641571 1931260 2317512 2896890 3229320 3283142 3862520 4924713 5793780 6566284 8207855 9849426 11587560 13132568 16415710 19698852 24623565 32831420 39397704 49247130 65662840 98494260 196988520