Search a number
-
+
4100120464 = 241146495011
BaseRepresentation
bin1111010001100010…
…1101111110010000
3101120202002200220111
43310120231332100
531344112323324
61514503451104
7203414306656
oct36430557620
911522080814
104100120464
111814458210
12965156a94
135045a7cab
142ac776dd6
1518ee50794
hexf462df90

4100120464 has 40 divisors (see below), whose sum is σ = 8669757600. Its totient is φ = 1862918400.

The previous prime is 4100120449. The next prime is 4100120467. The reversal of 4100120464 is 4640210014.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (4100120467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 815719 + ... + 820729.

It is an arithmetic number, because the mean of its divisors is an integer number (216743940).

Almost surely, 24100120464 is an apocalyptic number.

4100120464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4100120464 is an abundant number, since it is smaller than the sum of its proper divisors (4569637136).

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

4100120464 is a wasteful number, since it uses less digits than its factorization.

4100120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9679 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 4100120464 is about 64032.1830332217. The cubic root of 4100120464 is about 1600.5363389427.

Adding to 4100120464 its reverse (4640210014), we get a palindrome (8740330478).

The spelling of 4100120464 in words is "four billion, one hundred million, one hundred twenty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 44 88 176 4649 5011 9298 10022 18596 20044 37192 40088 51139 55121 74384 80176 102278 110242 204556 220484 409112 440968 818224 881936 23296139 46592278 93184556 186369112 256257529 372738224 512515058 1025030116 2050060232 4100120464