Search a number
-
+
197731920 = 243523113317
BaseRepresentation
bin10111100100100…
…10011001010000
3111210001211012110
423302102121100
5401104410140
631342025320
74620456621
oct1362223120
9453054173
10197731920
11a1683a11
1256278240
1331c71b49
141c391a48
151255c380
hexbc92650

197731920 has 160 divisors (see below), whose sum is σ = 647315712. Its totient is φ = 49831936.

The previous prime is 197731903. The next prime is 197731921. The reversal of 197731920 is 29137791.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (197731921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 623602 + ... + 623918.

Almost surely, 2197731920 is an apocalyptic number.

197731920 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 197731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323657856).

197731920 is an abundant number, since it is smaller than the sum of its proper divisors (449583792).

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

197731920 is a wasteful number, since it uses less digits than its factorization.

197731920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 23814, while the sum is 39.

The square root of 197731920 is about 14061.7182449372. The cubic root of 197731920 is about 582.5845027130.

The spelling of 197731920 in words is "one hundred ninety-seven million, seven hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 113 115 120 138 184 226 230 240 276 317 339 345 368 452 460 552 565 634 678 690 904 920 951 1104 1130 1268 1356 1380 1585 1695 1808 1840 1902 2260 2536 2599 2712 2760 3170 3390 3804 4520 4755 5072 5198 5424 5520 6340 6780 7291 7608 7797 9040 9510 10396 12680 12995 13560 14582 15216 15594 19020 20792 21873 25360 25990 27120 29164 31188 35821 36455 38040 38985 41584 43746 51980 58328 62376 71642 72910 76080 77970 87492 103960 107463 109365 116656 124752 143284 145820 155940 174984 179105 207920 214926 218730 286568 291640 311880 349968 358210 429852 437460 537315 573136 583280 623760 716420 823883 859704 874920 1074630 1432840 1647766 1719408 1749840 2149260 2471649 2865680 3295532 4119415 4298520 4943298 6591064 8238830 8597040 9886596 12358245 13182128 16477660 19773192 24716490 32955320 39546384 49432980 65910640 98865960 197731920