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115035420 = 223523312689
BaseRepresentation
bin1101101101101…
…00110100011100
322000110101221010
412312310310130
5213422113140
615225335220
72564533143
oct666646434
9260411833
10115035420
1159a308a5
1232637510
131aaa92c6
14113c675a
15a174880
hex6db4d1c

115035420 has 96 divisors (see below), whose sum is σ = 347074560. Its totient is φ = 28385280.

The previous prime is 115035359. The next prime is 115035421. The reversal of 115035420 is 24530511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115035421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41436 + ... + 44124.

It is an arithmetic number, because the mean of its divisors is an integer number (3615360).

Almost surely, 2115035420 is an apocalyptic number.

115035420 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 115035420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173537280).

115035420 is an abundant number, since it is smaller than the sum of its proper divisors (232039140).

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

115035420 is a wasteful number, since it uses less digits than its factorization.

115035420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2753 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 115035420 is about 10725.4566336357. The cubic root of 115035420 is about 486.3443342110.

Adding to 115035420 its reverse (24530511), we get a palindrome (139565931).

The spelling of 115035420 in words is "one hundred fifteen million, thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1380 1426 1860 2139 2689 2852 3565 4278 5378 7130 8067 8556 10695 10756 13445 14260 16134 21390 26890 32268 40335 42780 53780 61847 80670 83359 123694 161340 166718 185541 247388 250077 309235 333436 371082 416795 500154 618470 742164 833590 927705 1000308 1236940 1250385 1667180 1855410 1917257 2500770 3710820 3834514 5001540 5751771 7669028 9586285 11503542 19172570 23007084 28758855 38345140 57517710 115035420