Search a number
-
+
106080504 = 23347157599
BaseRepresentation
bin1100101001010…
…10100011111000
321101121110002120
412110222203320
5204124034004
614305401240
72425445415
oct624524370
9241543076
10106080504
1154974942
122b639220
1318c9233a
141013510c
1594a63d9
hex652a8f8

106080504 has 64 divisors (see below), whose sum is σ = 273024000. Its totient is φ = 34329984.

The previous prime is 106080479. The next prime is 106080509. The reversal of 106080504 is 405080601.

It is a super-2 number, since 2×1060805042 = 22506146657788032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106080509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 176797 + ... + 177395.

It is an arithmetic number, because the mean of its divisors is an integer number (4266000).

Almost surely, 2106080504 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 106080504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136512000).

106080504 is an abundant number, since it is smaller than the sum of its proper divisors (166943496).

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

106080504 is a wasteful number, since it uses less digits than its factorization.

106080504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 812 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 106080504 is about 10299.5390188105. The cubic root of 106080504 is about 473.3821285851.

The spelling of 106080504 in words is "one hundred six million, eighty thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 157 188 282 314 376 471 564 599 628 942 1128 1198 1256 1797 1884 2396 3594 3768 4792 7188 7379 14376 14758 22137 28153 29516 44274 56306 59032 84459 88548 94043 112612 168918 177096 188086 225224 282129 337836 376172 564258 675672 752344 1128516 2257032 4420021 8840042 13260063 17680084 26520126 35360168 53040252 106080504