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139434240 = 2835113301
BaseRepresentation
bin10000100111110…
…01100100000000
3100201100222211010
420103321210000
5241143343430
621500320520
73312112551
oct1023714400
9321328733
10139434240
1171786010
123a843140
1322b6c98a
1414738328
15c393cb0
hex84f9900

139434240 has 144 divisors (see below), whose sum is σ = 485948736. Its totient is φ = 33792000.

The previous prime is 139434223. The next prime is 139434247. The reversal of 139434240 is 42434931.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 139434198 and 139434207.

It is not an unprimeable number, because it can be changed into a prime (139434247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40590 + ... + 43890.

It is an arithmetic number, because the mean of its divisors is an integer number (3374644).

Almost surely, 2139434240 is an apocalyptic number.

139434240 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 139434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242974368).

139434240 is an abundant number, since it is smaller than the sum of its proper divisors (346514496).

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

139434240 is a wasteful number, since it uses less digits than its factorization.

139434240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3322 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 139434240 is about 11808.2276400821. The cubic root of 139434240 is about 518.5490121850.

The spelling of 139434240 in words is "one hundred thirty-nine million, four hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3301 3520 3840 4224 5280 6602 7040 8448 9903 10560 13204 14080 16505 19806 21120 26408 33010 36311 39612 42240 49515 52816 66020 72622 79224 99030 105632 108933 132040 145244 158448 181555 198060 211264 217866 264080 290488 316896 363110 396120 422528 435732 528160 544665 580976 633792 726220 792240 845056 871464 1056320 1089330 1161952 1267584 1452440 1584480 1742928 2112640 2178660 2323904 2535168 2904880 3168960 3485856 4225280 4357320 4647808 5809760 6337920 6971712 8714640 9295616 11619520 12675840 13943424 17429280 23239040 27886848 34858560 46478080 69717120 139434240