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141529920 = 2635721061
BaseRepresentation
bin10000110111110…
…01001101000000
3100212022110112220
420123321031000
5242212424140
622013251040
73335661450
oct1033711500
9325273486
10141529920
1172987584
123b493a80
132342481c
1414b21d60
15c659bd0
hex86f9340

141529920 has 112 divisors (see below), whose sum is σ = 513575808. Its totient is φ = 32348160.

The previous prime is 141529919. The next prime is 141529933. The reversal of 141529920 is 29925141.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3811 + ... + 17250.

Almost surely, 2141529920 is an apocalyptic number.

141529920 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 141529920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256787904).

141529920 is an abundant number, since it is smaller than the sum of its proper divisors (372045888).

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

141529920 is a wasteful number, since it uses less digits than its factorization.

141529920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21088 (or 21078 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 141529920 is about 11896.6348183005. The cubic root of 141529920 is about 521.1340142995.

The spelling of 141529920 in words is "one hundred forty-one million, five hundred twenty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 21061 42122 63183 84244 105305 126366 147427 168488 210610 252732 294854 315915 336976 421220 442281 505464 589708 631830 673952 737135 842440 884562 1010928 1179416 1263660 1347904 1474270 1684880 1769124 2021856 2211405 2358832 2527320 2948540 3369760 3538248 4043712 4422810 4717664 5054640 5897080 6739520 7076496 8845620 9435328 10109280 11794160 14152992 17691240 20218560 23588320 28305984 35382480 47176640 70764960 141529920