Search a number
-
+
197941920 = 25351137489
BaseRepresentation
bin10111100110001…
…01101010100000
3111210110111021020
423303011222200
5401133120140
631350325440
74622323101
oct1363055240
9453414236
10197941920
11a1807770
1256359880
13320165c7
141c4083a8
151259e6d0
hexbcc5aa0

197941920 has 96 divisors (see below), whose sum is σ = 680218560. Its totient is φ = 47984640.

The previous prime is 197941903. The next prime is 197941949. The reversal of 197941920 is 29149791.

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

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13465 + ... + 24024.

It is an arithmetic number, because the mean of its divisors is an integer number (7085610).

Almost surely, 2197941920 is an apocalyptic number.

197941920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

197941920 is an abundant number, since it is smaller than the sum of its proper divisors (482276640).

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

197941920 is a wasteful number, since it uses less digits than its factorization.

197941920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37518 (or 37510 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 42.

The square root of 197941920 is about 14069.1833451697. The cubic root of 197941920 is about 582.7906732021.

The spelling of 197941920 in words is "one hundred ninety-seven million, nine hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 37489 74978 112467 149956 187445 224934 299912 374890 412379 449868 562335 599824 749780 824758 899736 1124670 1199648 1237137 1499560 1649516 1799472 2061895 2249340 2474274 2999120 3299032 3598944 4123790 4498680 4948548 5998240 6185685 6598064 8247580 8997360 9897096 12371370 13196128 16495160 17994720 19794192 24742740 32990320 39588384 49485480 65980640 98970960 197941920