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16103136 = 253731773
BaseRepresentation
bin111101011011…
…011011100000
31010022010100110
4331123123200
513110300021
61333051320
7253605630
oct75333340
933263313
1016103136
1190a9585
125486b40
13344a7aa
1421d26c0
151631476
hexf5b6e0

16103136 has 96 divisors (see below), whose sum is σ = 49932288. Its totient is φ = 4446720.

The previous prime is 16103111. The next prime is 16103159. The reversal of 16103136 is 63130161.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×161031363 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20446 + ... + 21218.

It is an arithmetic number, because the mean of its divisors is an integer number (520128).

Almost surely, 216103136 is an apocalyptic number.

16103136 is a gapful number since it is divisible by the number (16) 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 16103136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24966144).

16103136 is an abundant number, since it is smaller than the sum of its proper divisors (33829152).

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

16103136 is a wasteful number, since it uses less digits than its factorization.

16103136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 816 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 16103136 is about 4012.8712912328. The cubic root of 16103136 is about 252.5244808470.

Adding to 16103136 its reverse (63130161), we get a palindrome (79233297).

The spelling of 16103136 in words is "sixteen million, one hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 773 868 992 1302 1488 1546 1736 2319 2604 2976 3092 3472 4638 5208 5411 6184 6944 9276 10416 10822 12368 16233 18552 20832 21644 23963 24736 32466 37104 43288 47926 64932 71889 74208 86576 95852 129864 143778 167741 173152 191704 259728 287556 335482 383408 503223 519456 575112 670964 766816 1006446 1150224 1341928 2012892 2300448 2683856 4025784 5367712 8051568 16103136