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139944960 = 2103253037
BaseRepresentation
bin10000101011101…
…10010000000000
3100202022221101200
420111312100000
5241311214320
621515301200
73316340541
oct1025662000
9322287350
10139944960
1171aa47a1
123aa4a800
1322cbb28c
141482c4c8
15c445290
hex8576400

139944960 has 132 divisors (see below), whose sum is σ = 485065308. Its totient is φ = 37306368.

The previous prime is 139944929. The next prime is 139944997. The reversal of 139944960 is 69449931.

It can be written as a sum of positive squares in 2 ways, for example, as 86713344 + 53231616 = 9312^2 + 7296^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44562 + ... + 47598.

Almost surely, 2139944960 is an apocalyptic number.

139944960 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 139944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242532654).

139944960 is an abundant number, since it is smaller than the sum of its proper divisors (345120348).

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

139944960 is a wasteful number, since it uses less digits than its factorization.

139944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 3047 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 139944960 is about 11829.8334730460. The cubic root of 139944960 is about 519.1813548669.

The spelling of 139944960 in words is "one hundred thirty-nine million, nine hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3037 3072 3840 4608 5120 5760 6074 7680 9111 9216 11520 12148 15185 15360 18222 23040 24296 27333 30370 36444 45555 46080 48592 54666 60740 72888 91110 97184 109332 121480 136665 145776 182220 194368 218664 242960 273330 291552 364440 388736 437328 485920 546660 583104 728880 777472 874656 971840 1093320 1166208 1457760 1554944 1749312 1943680 2186640 2332416 2915520 3109888 3498624 3887360 4373280 4664832 5831040 6997248 7774720 8746560 9329664 11662080 13994496 15549440 17493120 23324160 27988992 34986240 46648320 69972480 139944960