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140416640 = 2757132411
BaseRepresentation
bin10000101111010…
…01011010000000
3100210012220102022
420113221122000
5241421313030
621533341012
73323343650
oct1027513200
9323186368
10140416640
1172297111
123b037768
1323124b90
1414912360
15c4d9de5
hex85e9680

140416640 has 128 divisors (see below), whose sum is σ = 413320320. Its totient is φ = 44421120.

The previous prime is 140416621. The next prime is 140416649. The reversal of 140416640 is 46614041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (26) 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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140416649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57035 + ... + 59445.

It is an arithmetic number, because the mean of its divisors is an integer number (3229065).

Almost surely, 2140416640 is an apocalyptic number.

140416640 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 140416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206660160).

140416640 is an abundant number, since it is smaller than the sum of its proper divisors (272903680).

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

140416640 is a wasteful number, since it uses less digits than its factorization.

140416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2450 (or 2438 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 140416640 is about 11849.7527400364. The cubic root of 140416640 is about 519.7639954685.

The spelling of 140416640 in words is "one hundred forty million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 64 65 70 80 91 104 112 128 130 140 160 182 208 224 260 280 320 364 416 448 455 520 560 640 728 832 896 910 1040 1120 1456 1664 1820 2080 2240 2411 2912 3640 4160 4480 4822 5824 7280 8320 9644 11648 12055 14560 16877 19288 24110 29120 31343 33754 38576 48220 58240 62686 67508 77152 84385 96440 125372 135016 154304 156715 168770 192880 219401 250744 270032 308608 313430 337540 385760 438802 501488 540064 626860 675080 771520 877604 1002976 1080128 1097005 1253720 1350160 1543040 1755208 2005952 2160256 2194010 2507440 2700320 3510416 4011904 4388020 5014880 5400640 7020832 8776040 10029760 10801280 14041664 17552080 20059520 28083328 35104160 70208320 140416640