Search a number
-
+
106023240 = 23325294509
BaseRepresentation
bin1100101000111…
…00100101001000
321101111112112200
412110130211020
5204120220430
614304240200
72425116441
oct624344510
9241445480
10106023240
1154935914
122b610060
1318c7225b
141011c2c8
159494460
hex651c948

106023240 has 48 divisors (see below), whose sum is σ = 344576700. Its totient is φ = 28272768.

The previous prime is 106023227. The next prime is 106023257. The reversal of 106023240 is 42320601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 87721956 + 18301284 = 9366^2 + 4278^2 .

It is a super-2 number, since 2×1060232402 = 22481854840195200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 11 ways as a sum of consecutive naturals, for example, 146895 + ... + 147614.

Almost surely, 2106023240 is an apocalyptic number.

106023240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106023240 is an abundant number, since it is smaller than the sum of its proper divisors (238553460).

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

106023240 is a wasteful number, since it uses less digits than its factorization.

106023240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294526 (or 294519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106023240 is about 10296.7587133039. The cubic root of 106023240 is about 473.2969334349.

Adding to 106023240 its reverse (42320601), we get a palindrome (148343841).

The spelling of 106023240 in words is "one hundred six million, twenty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 294509 589018 883527 1178036 1472545 1767054 2356072 2650581 2945090 3534108 4417635 5301162 5890180 7068216 8835270 10602324 11780360 13252905 17670540 21204648 26505810 35341080 53011620 106023240