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1781990340 = 22351312717989
BaseRepresentation
bin110101000110111…
…0000001111000100
311121012010111012020
41222031300033010
512122142142330
6452454123140
762105445054
oct15215601704
94535114166
101781990340
11834983799
124189504b0
13225255870
1412c949564
15a669c210
hex6a3703c4

1781990340 has 96 divisors (see below), whose sum is σ = 5415997440. Its totient is φ = 435165696.

The previous prime is 1781990333. The next prime is 1781990359. The reversal of 1781990340 is 430991871.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1781990292 and 1781990301.

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, 90066 + ... + 108054.

It is an arithmetic number, because the mean of its divisors is an integer number (56416640).

Almost surely, 21781990340 is an apocalyptic number.

1781990340 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 1781990340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2707998720).

1781990340 is an abundant number, since it is smaller than the sum of its proper divisors (3634007100).

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

1781990340 is a wasteful number, since it uses less digits than its factorization.

1781990340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18141 (or 18139 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 1781990340 is about 42213.6274205380. The cubic root of 1781990340 is about 1212.3698154768.

The spelling of 1781990340 in words is "one billion, seven hundred eighty-one million, nine hundred ninety thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 127 130 156 195 254 260 381 390 508 635 762 780 1270 1524 1651 1905 2540 3302 3810 4953 6604 7620 8255 9906 16510 17989 19812 24765 33020 35978 49530 53967 71956 89945 99060 107934 179890 215868 233857 269835 359780 467714 539670 701571 935428 1079340 1169285 1403142 2284603 2338570 2806284 3507855 4569206 4677140 6853809 7015710 9138412 11423015 13707618 14031420 22846030 27415236 29699839 34269045 45692060 59399678 68538090 89099517 118799356 137076180 148499195 178199034 296998390 356398068 445497585 593996780 890995170 1781990340