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140490240 = 2935111663
BaseRepresentation
bin10000101111110…
…11011000000000
3100210100122101020
420113323120000
5241431141430
621535105440
73324101352
oct1027733000
9323318336
10140490240
1172337440
123b072280
132314c527
14149310d2
15c501b10
hex85fb600

140490240 has 160 divisors (see below), whose sum is σ = 490254336. Its totient is φ = 34037760.

The previous prime is 140490197. The next prime is 140490263. The reversal of 140490240 is 42094041.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 140490240.

It is a congruent number.

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, 83649 + ... + 85311.

Almost surely, 2140490240 is an apocalyptic number.

140490240 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 140490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245127168).

140490240 is an abundant number, since it is smaller than the sum of its proper divisors (349764096).

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

140490240 is a wasteful number, since it uses less digits than its factorization.

140490240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1700 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 140490240 is about 11852.8578832280. The cubic root of 140490240 is about 519.8547918020.

The spelling of 140490240 in words is "one hundred forty million, four hundred ninety thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 512 528 640 660 704 768 880 960 1056 1280 1320 1408 1536 1663 1760 1920 2112 2560 2640 2816 3326 3520 3840 4224 4989 5280 5632 6652 7040 7680 8315 8448 9978 10560 13304 14080 16630 16896 18293 19956 21120 24945 26608 28160 33260 36586 39912 42240 49890 53216 54879 66520 73172 79824 84480 91465 99780 106432 109758 133040 146344 159648 182930 199560 212864 219516 266080 274395 292688 319296 365860 399120 425728 439032 532160 548790 585376 638592 731720 798240 851456 878064 1064320 1097580 1170752 1277184 1463440 1596480 1756128 2128640 2195160 2341504 2554368 2926880 3192960 3512256 4257280 4390320 4683008 5853760 6385920 7024512 8780640 9366016 11707520 12771840 14049024 17561280 23415040 28098048 35122560 46830080 70245120 140490240