Search a number
-
+
106211504 = 247948317
BaseRepresentation
bin1100101010010…
…10100010110000
321101212002210102
412111022202300
5204142232004
614312251532
72426532350
oct625124260
9241762712
10106211504
1154a54303
122b6a0ba8
1319009b59
141016ab60
1594d011e
hex654a8b0

106211504 has 20 divisors (see below), whose sum is σ = 235182864. Its totient is φ = 45519168.

The previous prime is 106211489. The next prime is 106211507. The reversal of 106211504 is 405112601.

It is a super-2 number, since 2×1062115042 = 22561767163884032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106211507) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 474047 + ... + 474270.

Almost surely, 2106211504 is an apocalyptic number.

106211504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106211504 is an abundant number, since it is smaller than the sum of its proper divisors (128971360).

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

106211504 is an equidigital number, since it uses as much as digits as its factorization.

106211504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948332 (or 948326 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 106211504 is about 10305.8965645886. The cubic root of 106211504 is about 473.5769100549.

The spelling of 106211504 in words is "one hundred six million, two hundred eleven thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 948317 1896634 3793268 6638219 7586536 13276438 15173072 26552876 53105752 106211504