Search a number
-
+
141469920 = 25325175779
BaseRepresentation
bin10000110111010…
…10100011100000
3100212012102020200
420123222203200
5242204014140
622012105200
73335321514
oct1033524340
9325172220
10141469920
1172946499
123b465200
1323403417
1414b08144
15c647030
hex86ea8e0

141469920 has 144 divisors (see below), whose sum is σ = 511252560. Its totient is φ = 35500032.

The previous prime is 141469883. The next prime is 141469927. The reversal of 141469920 is 29964141.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (141469927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21591 + ... + 27369.

It is an arithmetic number, because the mean of its divisors is an integer number (3550365).

Almost surely, 2141469920 is an apocalyptic number.

141469920 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 141469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255626280).

141469920 is an abundant number, since it is smaller than the sum of its proper divisors (369782640).

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

141469920 is a wasteful number, since it uses less digits than its factorization.

141469920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5817 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 141469920 is about 11894.1128294632. The cubic root of 141469920 is about 521.0603609441.

The spelling of 141469920 in words is "one hundred forty-one million, four hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 5779 6120 8160 11558 12240 17337 23116 24480 28895 34674 46232 52011 57790 69348 86685 92464 98243 104022 115580 138696 173370 184928 196486 208044 231160 260055 277392 294729 346740 392972 416088 462320 491215 520110 554784 589458 693480 785944 832176 884187 924640 982430 1040220 1178916 1386960 1473645 1571888 1664352 1768374 1964860 2080440 2357832 2773920 2947290 3143776 3536748 3929720 4160880 4420935 4715664 5894580 7073496 7859440 8321760 8841870 9431328 11789160 14146992 15718880 17683740 23578320 28293984 35367480 47156640 70734960 141469920