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139745520 = 24335312087
BaseRepresentation
bin10000101010001…
…01100011110000
3100201221210211000
420111011203300
5241233324040
621511122000
73314550225
oct1025054360
9321853730
10139745520
1171978972
123a973300
1322c4b575
14147b994c
15c406130
hex85458f0

139745520 has 160 divisors (see below), whose sum is σ = 497111040. Its totient is φ = 36046080.

The previous prime is 139745503. The next prime is 139745581. The reversal of 139745520 is 25547931.

139745520 is a `hidden beast` number, since 1 + 3 + 97 + 45 + 520 = 666.

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

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 31 ways as a sum of consecutive naturals, for example, 65917 + ... + 68003.

It is an arithmetic number, because the mean of its divisors is an integer number (3106944).

Almost surely, 2139745520 is an apocalyptic number.

139745520 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 139745520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248555520).

139745520 is an abundant number, since it is smaller than the sum of its proper divisors (357365520).

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

139745520 is a wasteful number, since it uses less digits than its factorization.

139745520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2140 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 139745520 is about 11821.4009322077. The cubic root of 139745520 is about 518.9346036750.

The spelling of 139745520 in words is "one hundred thirty-nine million, seven hundred forty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 80 90 93 108 120 124 135 144 155 180 186 216 240 248 270 279 310 360 372 432 465 496 540 558 620 720 744 837 930 1080 1116 1240 1395 1488 1674 1860 2087 2160 2232 2480 2790 3348 3720 4174 4185 4464 5580 6261 6696 7440 8348 8370 10435 11160 12522 13392 16696 16740 18783 20870 22320 25044 31305 33392 33480 37566 41740 50088 56349 62610 64697 66960 75132 83480 93915 100176 112698 125220 129394 150264 166960 187830 194091 225396 250440 258788 281745 300528 323485 375660 388182 450792 500880 517576 563490 582273 646970 751320 776364 901584 970455 1035152 1126980 1164546 1293940 1502640 1552728 1746819 1940910 2253960 2329092 2587880 2911365 3105456 3493638 3881820 4507920 4658184 5175760 5822730 6987276 7763640 8734095 9316368 11645460 13974552 15527280 17468190 23290920 27949104 34936380 46581840 69872760 139745520