Search a number
-
+
106463040 = 2635110899
BaseRepresentation
bin1100101100001…
…11111101000000
321102022212211120
412112013331000
5204223304130
614321512240
72431630605
oct626077500
9242285746
10106463040
1155106292
122b7a2680
13190974a8
14101d46ac
15952e910
hex6587f40

106463040 has 56 divisors (see below), whose sum is σ = 338023200. Its totient is φ = 28389888.

The previous prime is 106463017. The next prime is 106463041. The reversal of 106463040 is 40364601.

It is a super-2 number, since 2×1064630402 = 22668757772083200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106463040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106463041) 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 7 ways as a sum of consecutive naturals, for example, 54490 + ... + 56409.

Almost surely, 2106463040 is an apocalyptic number.

106463040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106463040 is an abundant number, since it is smaller than the sum of its proper divisors (231560160).

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

106463040 is a wasteful number, since it uses less digits than its factorization.

106463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110919 (or 110909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 106463040 is about 10318.0928470333. The cubic root of 106463040 is about 473.9504657240.

The spelling of 106463040 in words is "one hundred six million, four hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 110899 221798 332697 443596 554495 665394 887192 1108990 1330788 1663485 1774384 2217980 2661576 3326970 3548768 4435960 5323152 6653940 7097536 8871920 10646304 13307880 17743840 21292608 26615760 35487680 53231520 106463040