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139741440 = 2835151241
BaseRepresentation
bin10000101010001…
…00100100000000
3100201221121012220
420111010210000
5241233211230
621511051040
73314532306
oct1025044400
9321847186
10139741440
11719758a3
123a970a80
1322c49757
14147b8276
15c404d10
hex8544900

139741440 has 144 divisors (see below), whose sum is σ = 451118976. Its totient is φ = 36864000.

The previous prime is 139741429. The next prime is 139741451. The reversal of 139741440 is 44147931.

It is an interprime number because it is at equal distance from previous prime (139741429) and next prime (139741451).

It is a congruent number.

It is an unprimeable number.

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, 579720 + ... + 579960.

Almost surely, 2139741440 is an apocalyptic number.

139741440 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 139741440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225559488).

139741440 is an abundant number, since it is smaller than the sum of its proper divisors (311377536).

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

139741440 is a wasteful number, since it uses less digits than its factorization.

139741440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 139741440 is about 11821.2283625688. The cubic root of 139741440 is about 518.9295533669.

The spelling of 139741440 in words is "one hundred thirty-nine million, seven hundred forty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 151 160 192 240 241 256 302 320 384 453 480 482 604 640 723 755 768 906 960 964 1205 1208 1280 1446 1510 1812 1920 1928 2265 2410 2416 2892 3020 3615 3624 3840 3856 4530 4820 4832 5784 6040 7230 7248 7712 9060 9640 9664 11568 12080 14460 14496 15424 18120 19280 19328 23136 24160 28920 28992 30848 36240 36391 38560 38656 46272 48320 57840 57984 61696 72480 72782 77120 92544 96640 109173 115680 115968 144960 145564 154240 181955 185088 193280 218346 231360 289920 291128 308480 363910 436692 462720 545865 579840 582256 727820 873384 925440 1091730 1164512 1455640 1746768 2183460 2329024 2911280 3493536 4366920 4658048 5822560 6987072 8733840 9316096 11645120 13974144 17467680 23290240 27948288 34935360 46580480 69870720 139741440