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140067720 = 23325131732
BaseRepresentation
bin10000101100101…
…00001110001000
3100202120011210100
420112110032020
5241324131340
621522045400
73320361462
oct1026241610
9322504710
10140067720
1172078a51
123aaa9860
1323032110
1414861132
15c46b830
hex8594388

140067720 has 144 divisors (see below), whose sum is σ = 493087140. Its totient is φ = 34278912.

The previous prime is 140067713. The next prime is 140067731. The reversal of 140067720 is 27760041.

It can be written as a sum of positive squares in 6 ways, for example, as 99082116 + 40985604 = 9954^2 + 6402^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 809554 + ... + 809726.

Almost surely, 2140067720 is an apocalyptic number.

140067720 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 140067720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246543570).

140067720 is an abundant number, since it is smaller than the sum of its proper divisors (353019420).

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

140067720 is a wasteful number, since it uses less digits than its factorization.

140067720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 140067720 is about 11835.0209125291. The cubic root of 140067720 is about 519.3331194753. Note that the first 3 decimals are identical.

The spelling of 140067720 in words is "one hundred forty million, sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 173 180 195 234 260 312 346 360 390 468 519 520 585 692 780 865 936 1038 1170 1384 1557 1560 1730 2076 2249 2340 2595 3114 3460 4152 4498 4680 5190 6228 6747 6920 7785 8996 10380 11245 12456 13494 15570 17992 20241 20760 22490 26988 29929 31140 33735 40482 44980 53976 59858 62280 67470 80964 89787 89960 101205 119716 134940 149645 161928 179574 202410 239432 269361 269880 299290 359148 389077 404820 448935 538722 598580 718296 778154 809640 897870 1077444 1167231 1197160 1346805 1556308 1795740 1945385 2154888 2334462 2693610 3112616 3501693 3591480 3890770 4668924 5387220 5836155 7003386 7781540 9337848 10774440 11672310 14006772 15563080 17508465 23344620 28013544 35016930 46689240 70033860 140067720