Search a number
-
+
103479408 = 243217411031
BaseRepresentation
bin1100010101011…
…11100001110000
321012201022001200
412022233201300
5202442320113
614133531200
72364363144
oct612574160
9235638050
10103479408
115345867a
122a7a3b00
1318591426
14da59224
159140873
hex62af870

103479408 has 120 divisors (see below), whose sum is σ = 314417376. Its totient is φ = 31641600.

The previous prime is 103479353. The next prime is 103479419. The reversal of 103479408 is 804974301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 99853 + ... + 100883.

Almost surely, 2103479408 is an apocalyptic number.

103479408 is a gapful number since it is divisible by the number (18) 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 103479408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157208688).

103479408 is an abundant number, since it is smaller than the sum of its proper divisors (210937968).

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

103479408 is a wasteful number, since it uses less digits than its factorization.

103479408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 103479408 is about 10172.4828827578. The cubic root of 103479408 is about 469.4809540873.

The spelling of 103479408 in words is "one hundred three million, four hundred seventy-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 34 36 41 48 51 68 72 82 102 123 136 144 153 164 204 246 272 306 328 369 408 492 612 656 697 738 816 984 1031 1224 1394 1476 1968 2062 2091 2448 2788 2952 3093 4124 4182 5576 5904 6186 6273 8248 8364 9279 11152 12372 12546 16496 16728 17527 18558 24744 25092 33456 35054 37116 42271 49488 50184 52581 70108 74232 84542 100368 105162 126813 140216 148464 157743 169084 210324 253626 280432 315486 338168 380439 420648 507252 630972 676336 718607 760878 841296 1014504 1261944 1437214 1521756 2029008 2155821 2523888 2874428 3043512 4311642 5748856 6087024 6467463 8623284 11497712 12934926 17246568 25869852 34493136 51739704 103479408