Search a number
-
+
103160148 = 223713175557
BaseRepresentation
bin1100010011000…
…01100101010100
321012010002010020
412021201211110
5202402111043
614123025140
72361563310
oct611414524
9235102106
10103160148
115325a823
122a66b1b0
13184ac010
14d9b4b40
1590cae83
hex6261954

103160148 has 96 divisors (see below), whose sum is σ = 313737984. Its totient is φ = 25602048.

The previous prime is 103160137. The next prime is 103160173. The reversal of 103160148 is 841061301.

It is a super-2 number, since 2×1031601482 = 21284032270763808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15786 + ... + 21342.

It is an arithmetic number, because the mean of its divisors is an integer number (3268104).

Almost surely, 2103160148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103160148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156868992).

103160148 is an abundant number, since it is smaller than the sum of its proper divisors (210577836).

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

103160148 is a wasteful number, since it uses less digits than its factorization.

103160148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 103160148 is about 10156.7784262531. The cubic root of 103160148 is about 468.9976344172.

The spelling of 103160148 in words is "one hundred three million, one hundred sixty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 17 21 26 28 34 39 42 51 52 68 78 84 91 102 119 156 182 204 221 238 273 357 364 442 476 546 663 714 884 1092 1326 1428 1547 2652 3094 4641 5557 6188 9282 11114 16671 18564 22228 33342 38899 66684 72241 77798 94469 116697 144482 155596 188938 216723 233394 283407 288964 377876 433446 466788 505687 566814 661283 866892 1011374 1133628 1228097 1322566 1517061 1983849 2022748 2456194 2645132 3034122 3684291 3967698 4912388 6068244 7368582 7935396 8596679 14737164 17193358 25790037 34386716 51580074 103160148