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1158378540 = 2235113075717
BaseRepresentation
bin100010100001011…
…0111010000101100
32222201200201121220
41011002313100230
54333021103130
6310540023340
740464024624
oct10502672054
92881621556
101158378540
11544968a40
12283b31b50
13155cb08b7
14adbb7884
156ba68410
hex450b742c

1158378540 has 96 divisors (see below), whose sum is σ = 3550466304. Its totient is φ = 279855360.

The previous prime is 1158378539. The next prime is 1158378577. The reversal of 1158378540 is 458738511.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 1158378492 and 1158378501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199762 + ... + 205478.

It is an arithmetic number, because the mean of its divisors is an integer number (36984024).

Almost surely, 21158378540 is an apocalyptic number.

1158378540 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 1158378540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775233152).

1158378540 is an abundant number, since it is smaller than the sum of its proper divisors (2392087764).

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

1158378540 is a wasteful number, since it uses less digits than its factorization.

1158378540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6047 (or 6045 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 1158378540 is about 34034.9605552879. The cubic root of 1158378540 is about 1050.2277782485.

The spelling of 1158378540 in words is "one billion, one hundred fifty-eight million, three hundred seventy-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 307 330 614 660 921 1228 1535 1842 3070 3377 3684 4605 5717 6140 6754 9210 10131 11434 13508 16885 17151 18420 20262 22868 28585 33770 34302 40524 50655 57170 62887 67540 68604 85755 101310 114340 125774 171510 188661 202620 251548 314435 343020 377322 628870 754644 943305 1257740 1755119 1886610 3510238 3773220 5265357 7020476 8775595 10530714 17551190 19306309 21061428 26326785 35102380 38612618 52653570 57918927 77225236 96531545 105307140 115837854 193063090 231675708 289594635 386126180 579189270 1158378540