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140400240 = 243531113167
BaseRepresentation
bin10000101111001…
…01011001110000
3100210012001220220
420113211121300
5241420301430
621533133040
73323245101
oct1027453160
9323161826
10140400240
1172285862
123b02a180
132311a586
141490a3a8
15c4d5110
hex85e5670

140400240 has 160 divisors (see below), whose sum is σ = 455970816. Its totient is φ = 35696640.

The previous prime is 140400217. The next prime is 140400283. The reversal of 140400240 is 42004041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 840637 + ... + 840803.

Almost surely, 2140400240 is an apocalyptic number.

140400240 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 140400240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227985408).

140400240 is an abundant number, since it is smaller than the sum of its proper divisors (315570576).

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

140400240 is a wasteful number, since it uses less digits than its factorization.

140400240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 140400240 is about 11849.0607222682. The cubic root of 140400240 is about 519.7437593545.

Adding to 140400240 its reverse (42004041), we get a palindrome (182404281).

The spelling of 140400240 in words is "one hundred forty million, four hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 113 120 124 155 167 186 226 240 248 310 334 339 372 452 465 496 501 565 620 668 678 744 835 904 930 1002 1130 1240 1336 1356 1488 1670 1695 1808 1860 2004 2260 2480 2505 2672 2712 3340 3390 3503 3720 4008 4520 5010 5177 5424 6680 6780 7006 7440 8016 9040 10020 10354 10509 13360 13560 14012 15531 17515 18871 20040 20708 21018 25885 27120 28024 31062 35030 37742 40080 41416 42036 51770 52545 56048 56613 62124 70060 75484 77655 82832 84072 94355 103540 105090 113226 124248 140120 150968 155310 168144 188710 207080 210180 226452 248496 280240 283065 301936 310620 377420 414160 420360 452904 566130 585001 621240 754840 840720 905808 1132260 1170002 1242480 1509680 1755003 2264520 2340004 2925005 3510006 4529040 4680008 5850010 7020012 8775015 9360016 11700020 14040024 17550030 23400040 28080048 35100060 46800080 70200120 140400240