Search a number
-
+
139940640 = 25325713883
BaseRepresentation
bin10000101011101…
…01001100100000
3100202022201110200
420111311030200
5241311100030
621515225200
73316322130
oct1025651440
9322281420
10139940640
1171aa1524
123aa48200
1322cb9318
141482aac0
15c443d60
hex8575320

139940640 has 144 divisors (see below), whose sum is σ = 545807808. Its totient is φ = 31984128.

The previous prime is 139940597. The next prime is 139940653. The reversal of 139940640 is 46049931.

139940640 is a `hidden beast` number, since 1 + 3 + 9 + 9 + 4 + 0 + 640 = 666.

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

It is a super-3 number, since 3×1399406403 (a number of 25 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 139940595 and 139940604.

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 23 ways as a sum of consecutive naturals, for example, 3139 + ... + 17021.

It is an arithmetic number, because the mean of its divisors is an integer number (3790332).

Almost surely, 2139940640 is an apocalyptic number.

139940640 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 139940640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272903904).

139940640 is an abundant number, since it is smaller than the sum of its proper divisors (405867168).

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

139940640 is a wasteful number, since it uses less digits than its factorization.

139940640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13911 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 139940640 is about 11829.6508824225. The cubic root of 139940640 is about 519.1760125606.

The spelling of 139940640 in words is "one hundred thirty-nine million, nine hundred forty thousand, six hundred forty".

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 13883 27766 41649 55532 69415 83298 97181 111064 124947 138830 166596 194362 208245 222128 249894 277660 291543 333192 388724 416490 444256 485905 499788 555320 583086 624735 666384 777448 832980 874629 971810 999576 1110640 1166172 1249470 1332768 1457715 1554896 1665960 1749258 1943620 1999152 2221280 2332344 2498940 2915430 3109792 3331920 3498516 3887240 3998304 4373145 4664688 4997880 5830860 6663840 6997032 7774480 8746290 9329376 9995760 11661720 13994064 15548960 17492580 19991520 23323440 27988128 34985160 46646880 69970320 139940640