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139955040 = 2534510799
BaseRepresentation
bin10000101011110…
…00101101100000
3100202100110020000
420111320231200
5241312030130
621515420000
73316412121
oct1025705540
9322313200
10139955040
1172001325
123aa54600
1322cc2a44
1414832048
15c448260
hex8578b60

139955040 has 120 divisors (see below), whose sum is σ = 493970400. Its totient is φ = 37317888.

The previous prime is 139955009. The next prime is 139955041. The reversal of 139955040 is 40559931.

139955040 is a `hidden beast` number, since 13 + 99 + 550 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 139954986 and 139955004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139955041) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7561 + ... + 18359.

It is an arithmetic number, because the mean of its divisors is an integer number (4116420).

Almost surely, 2139955040 is an apocalyptic number.

139955040 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 139955040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246985200).

139955040 is an abundant number, since it is smaller than the sum of its proper divisors (354015360).

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

139955040 is a wasteful number, since it uses less digits than its factorization.

139955040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10826 (or 10809 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 139955040 is about 11830.2595068747. The cubic root of 139955040 is about 519.1938198208.

It can be divided in two parts, 1 and 39955040, that added together give a square (39955041 = 63212).

The spelling of 139955040 in words is "one hundred thirty-nine million, nine hundred fifty-five thousand, forty".

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 72 80 81 90 96 108 120 135 144 160 162 180 216 240 270 288 324 360 405 432 480 540 648 720 810 864 1080 1296 1440 1620 2160 2592 3240 4320 6480 10799 12960 21598 32397 43196 53995 64794 86392 97191 107990 129588 161985 172784 194382 215980 259176 291573 323970 345568 388764 431960 485955 518352 583146 647940 777528 863920 874719 971910 1036704 1166292 1295880 1457865 1555056 1727840 1749438 1943820 2332584 2591760 2915730 3110112 3498876 3887640 4373595 4665168 5183520 5831460 6997752 7775280 8747190 9330336 11662920 13995504 15550560 17494380 23325840 27991008 34988760 46651680 69977520 139955040