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140713020 = 223257181617
BaseRepresentation
bin10000110001100…
…01110000111100
3100210202221222100
420120301300330
5242010304040
621543545100
73326020020
oct1030616074
9323687870
10140713020
1172479858
123b15b190
13231c9a56
141498c380
15c547b30
hex8631c3c

140713020 has 144 divisors (see below), whose sum is σ = 491295168. Its totient is φ = 31933440.

The previous prime is 140713009. The next prime is 140713021. The reversal of 140713020 is 20317041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 140712984 and 140713002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140713021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227752 + ... + 228368.

It is an arithmetic number, because the mean of its divisors is an integer number (3411772).

Almost surely, 2140713020 is an apocalyptic number.

140713020 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 140713020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245647584).

140713020 is an abundant number, since it is smaller than the sum of its proper divisors (350582148).

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

140713020 is a wasteful number, since it uses less digits than its factorization.

140713020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 140713020 is about 11862.2518941388. The cubic root of 140713020 is about 520.1294303062.

The spelling of 140713020 in words is "one hundred forty million, seven hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 181 210 252 315 362 420 543 617 630 724 905 1086 1234 1260 1267 1629 1810 1851 2172 2468 2534 2715 3085 3258 3620 3702 3801 4319 5068 5430 5553 6170 6335 6516 7404 7602 8145 8638 9255 10860 11106 11403 12340 12670 12957 15204 16290 17276 18510 19005 21595 22212 22806 25340 25914 27765 32580 37020 38010 38871 43190 45612 51828 55530 57015 64785 76020 77742 86380 111060 111677 114030 129570 155484 194355 223354 228060 259140 335031 388710 446708 558385 670062 777420 781739 1005093 1116770 1340124 1563478 1675155 2010186 2233540 2345217 3126956 3350310 3908695 4020372 4690434 5025465 6700620 7035651 7817390 9380868 10050930 11726085 14071302 15634780 20101860 23452170 28142604 35178255 46904340 70356510 140713020