Search a number
-
+
103620440 = 235711171979
BaseRepresentation
bin1100010110100…
…01111101011000
321012222110112002
412023101331120
5203011323230
614140540132
72365521260
oct613217530
9235873462
10103620440
1153544630
122a851648
1318610691
14da947a0
15916c545
hex62d1f58

103620440 has 128 divisors (see below), whose sum is σ = 307929600. Its totient is φ = 30382080.

The previous prime is 103620427. The next prime is 103620467. The reversal of 103620440 is 44026301.

It is a happy number.

It is a super-3 number, since 3×1036204403 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 51371 + ... + 53349.

It is an arithmetic number, because the mean of its divisors is an integer number (2405700).

Almost surely, 2103620440 is an apocalyptic number.

103620440 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 103620440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153964800).

103620440 is an abundant number, since it is smaller than the sum of its proper divisors (204309160).

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

103620440 is a wasteful number, since it uses less digits than its factorization.

103620440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2025 (or 2021 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 103620440 is about 10179.4125567245. The cubic root of 103620440 is about 469.6941423339.

Adding to 103620440 its reverse (44026301), we get a palindrome (147646741).

The spelling of 103620440 in words is "one hundred three million, six hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 17 20 22 28 34 35 40 44 55 56 68 70 77 85 88 110 119 136 140 154 170 187 220 238 280 308 340 374 385 440 476 595 616 680 748 770 935 952 1190 1309 1496 1540 1870 1979 2380 2618 3080 3740 3958 4760 5236 6545 7480 7916 9895 10472 13090 13853 15832 19790 21769 26180 27706 33643 39580 43538 52360 55412 67286 69265 79160 87076 108845 110824 134572 138530 152383 168215 174152 217690 235501 269144 277060 304766 336430 370073 435380 471002 554120 609532 672860 740146 761915 870760 942004 1177505 1219064 1345720 1480292 1523830 1850365 1884008 2355010 2590511 2960584 3047660 3700730 4710020 5181022 6095320 7401460 9420040 10362044 12952555 14802920 20724088 25905110 51810220 103620440