[go: up one dir, main page]

Search a number
-
+
141673840 = 245711109211
BaseRepresentation
bin10000111000111…
…00010101110000
3100212120202222021
420130130111300
5242232030330
622020321224
73340131160
oct1034342560
9325522867
10141673840
1172a75720
123b543214
1323475199
1414b5c5a0
15c68767a
hex871c570

141673840 has 160 divisors (see below), whose sum is σ = 416401920. Its totient is φ = 43545600.

The previous prime is 141673837. The next prime is 141673841. The reversal of 141673840 is 48376141.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 141673796 and 141673805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141673841) 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, 671335 + ... + 671545.

It is an arithmetic number, because the mean of its divisors is an integer number (2602512).

Almost surely, 2141673840 is an apocalyptic number.

141673840 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 141673840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208200960).

141673840 is an abundant number, since it is smaller than the sum of its proper divisors (274728080).

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

141673840 is a wasteful number, since it uses less digits than its factorization.

141673840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 34.

The square root of 141673840 is about 11902.6820506976. The cubic root of 141673840 is about 521.3105993376.

The spelling of 141673840 in words is "one hundred forty-one million, six hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 109 110 112 140 154 176 211 218 220 280 308 385 422 436 440 545 560 616 763 770 844 872 880 1055 1090 1199 1232 1477 1526 1540 1688 1744 2110 2180 2321 2398 2954 3052 3080 3376 3815 4220 4360 4642 4796 5908 5995 6104 6160 7385 7630 8393 8440 8720 9284 9592 11605 11816 11990 12208 14770 15260 16247 16786 16880 18568 19184 22999 23210 23632 23980 29540 30520 32494 33572 37136 41965 45998 46420 47960 59080 61040 64988 67144 81235 83930 91996 92840 95920 114995 118160 129976 134288 160993 162470 167860 183992 185680 229990 252989 259952 321986 324940 335720 367984 459980 505978 643972 649880 671440 804965 919960 1011956 1264945 1287944 1299760 1609930 1770923 1839920 2023912 2529890 2575888 3219860 3541846 4047824 5059780 6439720 7083692 8854615 10119560 12879440 14167384 17709230 20239120 28334768 35418460 70836920 141673840