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1091978820 = 22355239769
BaseRepresentation
bin100000100010110…
…0100011001000100
32211002202021100000
41001011210121010
54214021310240
6300204521300
736026444502
oct10105443104
92732667300
101091978820
11510436939
12265850230
13145302a1a
14a5051672
1565cee430
hex41164644

1091978820 has 144 divisors (see below), whose sum is σ = 3584730240. Its totient is φ = 278505216.

The previous prime is 1091978809. The next prime is 1091978821. The reversal of 1091978820 is 288791901.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1091978821) 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, 106896 + ... + 116664.

It is an arithmetic number, because the mean of its divisors is an integer number (24893960).

Almost surely, 21091978820 is an apocalyptic number.

1091978820 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 1091978820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1792365120).

1091978820 is an abundant number, since it is smaller than the sum of its proper divisors (2492751420).

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

1091978820 is a wasteful number, since it uses less digits than its factorization.

1091978820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9816 (or 9802 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1091978820 is about 33045.1028141841. The cubic root of 1091978820 is about 1029.7648691921.

The spelling of 1091978820 in words is "one billion, ninety-one million, nine hundred seventy-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 27 30 36 45 46 54 60 69 81 90 92 108 115 135 138 162 180 207 230 243 270 276 324 345 405 414 460 486 540 621 690 810 828 972 1035 1215 1242 1380 1620 1863 2070 2430 2484 3105 3726 4140 4860 5589 6210 7452 9315 9769 11178 12420 18630 19538 22356 27945 29307 37260 39076 48845 55890 58614 87921 97690 111780 117228 146535 175842 195380 224687 263763 293070 351684 439605 449374 527526 586140 674061 791289 879210 898748 1055052 1123435 1318815 1348122 1582578 1758420 2022183 2246870 2373867 2637630 2696244 3165156 3370305 3956445 4044366 4493740 4747734 5275260 6066549 6740610 7912890 8088732 9495468 10110915 11869335 12133098 13481220 15825780 18199647 20221830 23738670 24266196 30332745 36399294 40443660 47477340 54598941 60665490 72798588 90998235 109197882 121330980 181996470 218395764 272994705 363992940 545989410 1091978820