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141059040 = 25351915467
BaseRepresentation
bin10000110100001…
…10001111100000
3100211102112121220
420122012033200
5242102342130
621555215040
73331660563
oct1032061740
9324375556
10141059040
1172695821
123b2a7480
13232bb3b5
1414a3c4da
15c5b5410
hex86863e0

141059040 has 96 divisors (see below), whose sum is σ = 467752320. Its totient is φ = 35633664.

The previous prime is 141059011. The next prime is 141059057. The reversal of 141059040 is 40950141.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 141059040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1387 + ... + 16853.

It is an arithmetic number, because the mean of its divisors is an integer number (4872420).

Almost surely, 2141059040 is an apocalyptic number.

141059040 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 141059040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233876160).

141059040 is an abundant number, since it is smaller than the sum of its proper divisors (326693280).

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

141059040 is a wasteful number, since it uses less digits than its factorization.

141059040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15504 (or 15496 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 141059040 is about 11876.8278593234. The cubic root of 141059040 is about 520.5554223103. Note that the first 3 decimals are identical.

The spelling of 141059040 in words is "one hundred forty-one million, fifty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 15467 30934 46401 61868 77335 92802 123736 154670 185604 232005 247472 293873 309340 371208 464010 494944 587746 618680 742416 881619 928020 1175492 1237360 1469365 1484832 1763238 1856040 2350984 2474720 2938730 3526476 3712080 4408095 4701968 5877460 7052952 7424160 8816190 9403936 11754920 14105904 17632380 23509840 28211808 35264760 47019680 70529520 141059040