Search a number
-
+
3139240320 = 27335181669
BaseRepresentation
bin1011101100011101…
…0000000110000000
322002210000221011000
42323013100012000
522412121142240
61235300452000
7140536050066
oct27307200600
98083027130
103139240320
111371023797
127373aa000
133b04b6b68
1421acd0036
151358ea430
hexbb1d0180

3139240320 has 128 divisors (see below), whose sum is σ = 11118204000. Its totient is φ = 837126144.

The previous prime is 3139240319. The next prime is 3139240339. The reversal of 3139240320 is 230429313.

It is a happy number.

3139240320 is a `hidden beast` number, since 313 + 9 + 24 + 0 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 73555 + ... + 108114.

Almost surely, 23139240320 is an apocalyptic number.

3139240320 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3139240320 is an abundant number, since it is smaller than the sum of its proper divisors (7978963680).

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

3139240320 is a wasteful number, since it uses less digits than its factorization.

3139240320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181697 (or 181679 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3139240320 is about 56028.9239589696. The cubic root of 3139240320 is about 1464.2262482907.

Adding to 3139240320 its reverse (230429313), we get a palindrome (3369669633).

The spelling of 3139240320 in words is "three billion, one hundred thirty-nine million, two hundred forty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 270 288 320 360 384 432 480 540 576 640 720 864 960 1080 1152 1440 1728 1920 2160 2880 3456 4320 5760 8640 17280 181669 363338 545007 726676 908345 1090014 1453352 1635021 1816690 2180028 2725035 2906704 3270042 3633380 4360056 4905063 5450070 5813408 6540084 7266760 8175105 8720112 9810126 10900140 11626816 13080168 14533520 16350210 17440224 19620252 21800280 23253632 24525315 26160336 29067040 32700420 34880448 39240504 43600560 49050630 52320672 58134080 65400840 69760896 78481008 87201120 98101260 104641344 116268160 130801680 156962016 174402240 196202520 209282688 261603360 313924032 348804480 392405040 523206720 627848064 784810080 1046413440 1569620160 3139240320