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115000440 = 23353759439
BaseRepresentation
bin1101101101011…
…00010001111000
322000101121221120
412312230101320
5213420003230
615224505240
72564326152
oct666542170
9260347846
10115000440
1159a07595
123261b220
131aa963c9
14113b7ad2
15a169310
hex6dac478

115000440 has 128 divisors (see below), whose sum is σ = 361152000. Its totient is φ = 29265408.

The previous prime is 115000429. The next prime is 115000441. The reversal of 115000440 is 44000511.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115000441) 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, 261741 + ... + 262179.

It is an arithmetic number, because the mean of its divisors is an integer number (2821500).

Almost surely, 2115000440 is an apocalyptic number.

115000440 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 115000440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180576000).

115000440 is an abundant number, since it is smaller than the sum of its proper divisors (246151560).

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

115000440 is a wasteful number, since it uses less digits than its factorization.

115000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 115000440 is about 10723.8258098498. The cubic root of 115000440 is about 486.2950333102.

Adding to 115000440 its reverse (44000511), we get a palindrome (159000951).

It can be divided in two parts, 115000 and 440, that added together give a triangular number (115440 = T480).

The spelling of 115000440 in words is "one hundred fifteen million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 59 60 74 111 118 120 148 177 185 222 236 295 296 354 370 439 444 472 555 590 708 740 878 885 888 1110 1180 1317 1416 1480 1756 1770 2183 2195 2220 2360 2634 3512 3540 4366 4390 4440 5268 6549 6585 7080 8732 8780 10536 10915 13098 13170 16243 17464 17560 21830 25901 26196 26340 32486 32745 43660 48729 51802 52392 52680 64972 65490 77703 81215 87320 97458 103604 129505 129944 130980 155406 162430 194916 207208 243645 259010 261960 310812 324860 388515 389832 487290 518020 621624 649720 777030 958337 974580 1036040 1554060 1916674 1949160 2875011 3108120 3833348 4791685 5750022 7666696 9583370 11500044 14375055 19166740 23000088 28750110 38333480 57500220 115000440