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140424480 = 25325713931
BaseRepresentation
bin10000101111010…
…11010100100000
3100210020022011200
420113223110200
5241422040410
621533441200
73323405550
oct1027532440
9323208150
10140424480
11722a1a99
123b040200
1323128611
1414915160
15c4dc3c0
hex85eb520

140424480 has 144 divisors (see below), whose sum is σ = 547694784. Its totient is φ = 32094720.

The previous prime is 140424419. The next prime is 140424491. The reversal of 140424480 is 84424041.

It is a happy number.

140424480 is a `hidden beast` number, since 140 + 42 + 4 + 480 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3115 + ... + 17045.

It is an arithmetic number, because the mean of its divisors is an integer number (3803436).

Almost surely, 2140424480 is an apocalyptic number.

140424480 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 140424480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273847392).

140424480 is an abundant number, since it is smaller than the sum of its proper divisors (407270304).

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

140424480 is a wasteful number, since it uses less digits than its factorization.

140424480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13959 (or 13948 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 140424480 is about 11850.0835440093. The cubic root of 140424480 is about 519.7736687615.

The spelling of 140424480 in words is "one hundred forty million, four hundred twenty-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 13931 27862 41793 55724 69655 83586 97517 111448 125379 139310 167172 195034 208965 222896 250758 278620 292551 334344 390068 417930 445792 487585 501516 557240 585102 626895 668688 780136 835860 877653 975170 1003032 1114480 1170204 1253790 1337376 1462755 1560272 1671720 1755306 1950340 2006064 2228960 2340408 2507580 2925510 3120544 3343440 3510612 3900680 4012128 4388265 4680816 5015160 5851020 6686880 7021224 7801360 8776530 9361632 10030320 11702040 14042448 15602720 17553060 20060640 23404080 28084896 35106120 46808160 70212240 140424480