Search a number
-
+
20789491000 = 235329757947
BaseRepresentation
bin10011010111001001…
…100111010100111000
31222122212002120022011
4103113021213110320
5320034102203000
613314530535304
71334116520635
oct232711472470
958585076264
1020789491000
1188a9142323
124042437534
131c6411b385
1410130b718c
1581a2192ba
hex4d7267538

20789491000 has 128 divisors (see below), whose sum is σ = 50444596800. Its totient is φ = 8009971200.

The previous prime is 20789490989. The next prime is 20789491001. The reversal of 20789491000 is 19498702.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20789491001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21952527 + ... + 21953473.

Almost surely, 220789491000 is an apocalyptic number.

20789491000 is a gapful number since it is divisible by the number (20) 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 20789491000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25222298400).

20789491000 is an abundant number, since it is smaller than the sum of its proper divisors (29655105800).

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

20789491000 is a wasteful number, since it uses less digits than its factorization.

20789491000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 40.

The spelling of 20789491000 in words is "twenty billion, seven hundred eighty-nine million, four hundred ninety-one thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 757 947 1000 1160 1450 1514 1894 2900 3028 3625 3785 3788 4735 5800 6056 7250 7570 7576 9470 14500 15140 18925 18940 21953 23675 27463 29000 30280 37850 37880 43906 47350 54926 75700 87812 94625 94700 109765 109852 118375 137315 151400 175624 189250 189400 219530 219704 236750 274630 378500 439060 473500 548825 549260 686575 716879 757000 878120 947000 1097650 1098520 1373150 1433758 2195300 2744125 2746300 2867516 3432875 3584395 4390600 5488250 5492600 5735032 6865750 7168790 10976500 13731500 14337580 17921975 20789491 21953000 27463000 28675160 35843950 41578982 71687900 83157964 89609875 103947455 143375800 166315928 179219750 207894910 358439500 415789820 519737275 716879000 831579640 1039474550 2078949100 2598686375 4157898200 5197372750 10394745500 20789491000