Search a number
-
+
19707240 = 2335729809
BaseRepresentation
bin100101100101…
…1010101101000
31101002020020210
41023023111220
520021112430
61542221120
7326336340
oct113132550
941066223
1019707240
1110140383
1267247a0
1341100b7
14288dd20
151ae42b0
hex12cb568

19707240 has 128 divisors (see below), whose sum is σ = 69984000. Its totient is φ = 4343808.

The previous prime is 19707229. The next prime is 19707283. The reversal of 19707240 is 4270791.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 19707198 and 19707207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23956 + ... + 24764.

It is an arithmetic number, because the mean of its divisors is an integer number (546750).

Almost surely, 219707240 is an apocalyptic number.

19707240 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 19707240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34992000).

19707240 is an abundant number, since it is smaller than the sum of its proper divisors (50276760).

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

19707240 is a wasteful number, since it uses less digits than its factorization.

19707240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 19707240 is about 4439.2837260081. The cubic root of 19707240 is about 270.1107912946.

The spelling of 19707240 in words is "nineteen million, seven hundred seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 29 30 35 40 42 56 58 60 70 84 87 105 116 120 140 145 168 174 203 210 232 280 290 348 406 420 435 580 609 696 809 812 840 870 1015 1160 1218 1618 1624 1740 2030 2427 2436 3045 3236 3480 4045 4060 4854 4872 5663 6090 6472 8090 8120 9708 11326 12135 12180 16180 16989 19416 22652 23461 24270 24360 28315 32360 33978 45304 46922 48540 56630 67956 70383 84945 93844 97080 113260 117305 135912 140766 164227 169890 187688 226520 234610 281532 328454 339780 351915 469220 492681 563064 656908 679560 703830 821135 938440 985362 1313816 1407660 1642270 1970724 2463405 2815320 3284540 3941448 4926810 6569080 9853620 19707240