Search a number
-
+
140375840 = 25511471697
BaseRepresentation
bin10000101110111…
…11011100100000
3100210010211110012
420113133130200
5241414011330
621532424052
73323114003
oct1027373440
9323124405
10140375840
11722694a0
123b018028
132310c437
141490153a
15c4ccc95
hex85df720

140375840 has 96 divisors (see below), whose sum is σ = 369702144. Its totient is φ = 49930240.

The previous prime is 140375839. The next prime is 140375869. The reversal of 140375840 is 48573041.

140375840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 140375797 and 140375806.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81872 + ... + 83568.

It is an arithmetic number, because the mean of its divisors is an integer number (3851064).

Almost surely, 2140375840 is an apocalyptic number.

140375840 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 140375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184851072).

140375840 is an abundant number, since it is smaller than the sum of its proper divisors (229326304).

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

140375840 is a wasteful number, since it uses less digits than its factorization.

140375840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1770 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The square root of 140375840 is about 11848.0310600538. The cubic root of 140375840 is about 519.7136490488.

The spelling of 140375840 in words is "one hundred forty million, three hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 80 88 94 110 160 176 188 220 235 352 376 440 470 517 752 880 940 1034 1504 1697 1760 1880 2068 2585 3394 3760 4136 5170 6788 7520 8272 8485 10340 13576 16544 16970 18667 20680 27152 33940 37334 41360 54304 67880 74668 79759 82720 93335 135760 149336 159518 186670 271520 298672 319036 373340 398795 597344 638072 746680 797590 877349 1276144 1493360 1595180 1754698 2552288 2986720 3190360 3509396 4386745 6380720 7018792 8773490 12761440 14037584 17546980 28075168 35093960 70187920 140375840