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139759680 = 2635197739
BaseRepresentation
bin10000101010010…
…01000001000000
3100201222112020110
420111021001000
5241234302210
621511311320
73314636424
oct1025110100
9321875213
10139759680
1171988575
123a97b540
1322c54b48
14147c0b84
15c40a420
hex8549040

139759680 has 112 divisors (see below), whose sum is σ = 446592960. Its totient is φ = 37029888.

The previous prime is 139759679. The next prime is 139759681. The reversal of 139759680 is 86957931.

139759680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (139759679) and next prime (139759681).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (139759681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 188751 + ... + 189489.

Almost surely, 2139759680 is an apocalyptic number.

139759680 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 139759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223296480).

139759680 is an abundant number, since it is smaller than the sum of its proper divisors (306833280).

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

139759680 is a wasteful number, since it uses less digits than its factorization.

139759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 139759680 is about 11821.9998308239. Note that the first 3 decimals coincide. The cubic root of 139759680 is about 518.9521304523.

The spelling of 139759680 in words is "one hundred thirty-nine million, seven hundred fifty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 739 788 960 985 1182 1478 1576 1970 2217 2364 2955 2956 3152 3695 3940 4434 4728 5910 5912 6304 7390 7880 8868 9456 11085 11820 11824 12608 14780 15760 17736 18912 22170 23640 23648 29560 31520 35472 37824 44340 47280 47296 59120 63040 70944 88680 94560 118240 141888 145583 177360 189120 236480 291166 354720 436749 582332 709440 727915 873498 1164664 1455830 1746996 2183745 2329328 2911660 3493992 4367490 4658656 5823320 6987984 8734980 9317312 11646640 13975968 17469960 23293280 27951936 34939920 46586560 69879840 139759680