Search a number
-
+
141457320 = 23335227577
BaseRepresentation
bin10000110111001…
…11011110101000
3100212011202222000
420123213132220
5242203113240
622011531000
73335240004
oct1033473650
9325152860
10141457320
1172937a84
123b459a60
13233ca774
1414b03704
15c643430
hex86e77a8

141457320 has 128 divisors (see below), whose sum is σ = 474422400. Its totient is φ = 37490688.

The previous prime is 141457313. The next prime is 141457361. The reversal of 141457320 is 23754141.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244872 + ... + 245448.

It is an arithmetic number, because the mean of its divisors is an integer number (3706425).

Almost surely, 2141457320 is an apocalyptic number.

141457320 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 141457320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

141457320 is an abundant number, since it is smaller than the sum of its proper divisors (332965080).

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

141457320 is a wasteful number, since it uses less digits than its factorization.

141457320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 141457320 is about 11893.5831438638. The cubic root of 141457320 is about 521.0448910938.

The spelling of 141457320 in words is "one hundred forty-one million, four hundred fifty-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 227 270 360 454 540 577 681 908 1080 1135 1154 1362 1731 1816 2043 2270 2308 2724 2885 3405 3462 4086 4540 4616 5193 5448 5770 6129 6810 6924 8172 8655 9080 10215 10386 11540 12258 13620 13848 15579 16344 17310 20430 20772 23080 24516 25965 27240 30645 31158 34620 40860 41544 49032 51930 61290 62316 69240 77895 81720 103860 122580 124632 130979 155790 207720 245160 261958 311580 392937 523916 623160 654895 785874 1047832 1178811 1309790 1571748 1964685 2357622 2619580 3143496 3536433 3929370 4715244 5239160 5894055 7072866 7858740 9430488 11788110 14145732 15717480 17682165 23576220 28291464 35364330 47152440 70728660 141457320