Search a number
-
+
106250480 = 2457189733
BaseRepresentation
bin1100101010101…
…00000011110000
321101221002020222
412111110003300
5204200003410
614313152212
72430054110
oct625240360
9241832228
10106250480
1154a80616
122b6bb668
131902180b
141017b040
1594db955
hex65540f0

106250480 has 40 divisors (see below), whose sum is σ = 282324192. Its totient is φ = 36428544.

The previous prime is 106250477. The next prime is 106250483. The reversal of 106250480 is 84052601.

It is an interprime number because it is at equal distance from previous prime (106250477) and next prime (106250483).

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1062504802 = 22578329000460800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106250483) 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 7 ways as a sum of consecutive naturals, for example, 94307 + ... + 95426.

Almost surely, 2106250480 is an apocalyptic number.

106250480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106250480 is an abundant number, since it is smaller than the sum of its proper divisors (176073712).

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

106250480 is a wasteful number, since it uses less digits than its factorization.

106250480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189753 (or 189747 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 106250480 is about 10307.7873474379. The cubic root of 106250480 is about 473.6348318291.

The spelling of 106250480 in words is "one hundred six million, two hundred fifty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 189733 379466 758932 948665 1328131 1517864 1897330 2656262 3035728 3794660 5312524 6640655 7589320 10625048 13281310 15178640 21250096 26562620 53125240 106250480