Search a number
-
+
140840960 = 212513232
BaseRepresentation
bin10000110010100…
…01000000000000
3100211000110110212
420121101000000
5242023402320
621550413252
73330062021
oct1031210000
9324013425
10140840960
1172556997
123b201228
1323243060
14149c2c48
15c5709c5
hex8651000

140840960 has 156 divisors (see below), whose sum is σ = 380488332. Its totient is φ = 49741824.

The previous prime is 140840941. The next prime is 140840969. The reversal of 140840960 is 69048041.

It can be written as a sum of positive squares in 2 ways, for example, as 34668544 + 106172416 = 5888^2 + 10304^2 .

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

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140840969) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6123509 + ... + 6123531.

Almost surely, 2140840960 is an apocalyptic number.

140840960 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 140840960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190244166).

140840960 is an abundant number, since it is smaller than the sum of its proper divisors (239647372).

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

140840960 is an equidigital number, since it uses as much as digits as its factorization.

140840960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 140840960 is about 11867.6434054955. The cubic root of 140840960 is about 520.2870210329.

The spelling of 140840960 in words is "one hundred forty million, eight hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 368 416 460 512 520 529 598 640 736 832 920 1024 1040 1058 1196 1280 1472 1495 1664 1840 2048 2080 2116 2392 2560 2645 2944 2990 3328 3680 4096 4160 4232 4784 5120 5290 5888 5980 6656 6877 7360 8320 8464 9568 10240 10580 11776 11960 13312 13754 14720 16640 16928 19136 20480 21160 23552 23920 26624 27508 29440 33280 33856 34385 38272 42320 47104 47840 53248 55016 58880 66560 67712 68770 76544 84640 94208 95680 110032 117760 133120 135424 137540 153088 169280 191360 220064 235520 266240 270848 275080 306176 338560 382720 440128 471040 541696 550160 612352 677120 765440 880256 1083392 1100320 1224704 1354240 1530880 1760512 2166784 2200640 2708480 3061760 3521024 4401280 5416960 6123520 7042048 8802560 10833920 14084096 17605120 28168192 35210240 70420480 140840960