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1086493380 = 2235715716477
BaseRepresentation
bin100000011000010…
…1001001011000100
32210201102120201120
41000300221023010
54211120242010
6255451153540
735632020120
oct10060511304
92721376646
101086493380
1150832a615
12263a458b0
13144131cbb
14a4424580
15655b8e70
hex40c292c4

1086493380 has 96 divisors (see below), whose sum is σ = 3499136256. Its totient is φ = 246744576.

The previous prime is 1086493379. The next prime is 1086493393. The reversal of 1086493380 is 833946801.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 57702 + ... + 74178.

It is an arithmetic number, because the mean of its divisors is an integer number (36449336).

Almost surely, 21086493380 is an apocalyptic number.

1086493380 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 1086493380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749568128).

1086493380 is an abundant number, since it is smaller than the sum of its proper divisors (2412642876).

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

1086493380 is a wasteful number, since it uses less digits than its factorization.

1086493380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16653 (or 16651 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1086493380 is about 32961.9990291851. Note that the first 3 decimals coincide. The cubic root of 1086493380 is about 1028.0376688847.

The spelling of 1086493380 in words is "one billion, eighty-six million, four hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1884 2198 2355 3140 3297 4396 4710 5495 6594 9420 10990 13188 16477 16485 21980 32954 32970 49431 65908 65940 82385 98862 115339 164770 197724 230678 247155 329540 346017 461356 494310 576695 692034 988620 1153390 1384068 1730085 2306780 2586889 3460170 5173778 6920340 7760667 10347556 12934445 15521334 18108223 25868890 31042668 36216446 38803335 51737780 54324669 72432892 77606670 90541115 108649338 155213340 181082230 217298676 271623345 362164460 543246690 1086493380