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1086415540 = 225741189271
BaseRepresentation
bin100000011000001…
…0110001010110100
32210201021121221121
41000300112022310
54211110244130
6255445353324
735631244150
oct10060261264
92721247847
101086415540
11508287091
12263a08844
13144105742
14a4404060
15655a0d7a
hex40c162b4

1086415540 has 48 divisors (see below), whose sum is σ = 2671006464. Its totient is φ = 363398400.

The previous prime is 1086415523. The next prime is 1086415541. The reversal of 1086415540 is 455146801.

It is a junction number, because it is equal to n+sod(n) for n = 1086415496 and 1086415505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1086415541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88896 + ... + 100375.

It is an arithmetic number, because the mean of its divisors is an integer number (55645968).

Almost surely, 21086415540 is an apocalyptic number.

1086415540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1086415540 is an abundant number, since it is smaller than the sum of its proper divisors (1584590924).

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

1086415540 is a wasteful number, since it uses less digits than its factorization.

1086415540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189328 (or 189326 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The square root of 1086415540 is about 32960.8182544062. The cubic root of 1086415540 is about 1028.0131176189.

The spelling of 1086415540 in words is "one billion, eighty-six million, four hundred fifteen thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 70 82 140 164 205 287 410 574 820 1148 1435 2870 5740 189271 378542 757084 946355 1324897 1892710 2649794 3785420 5299588 6624485 7760111 13248970 15520222 26497940 31040444 38800555 54320777 77601110 108641554 155202220 217283108 271603885 543207770 1086415540