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4120403424 = 253174096173
BaseRepresentation
bin1111010110011000…
…0101110111100000
3101122011021011220020
43311212011313200
531414310402144
61520510313440
7204051564654
oct36546056740
911564234806
104120403424
111824951095
1296bab8880
1350885a147
142b1336a64
15191b0a419
hexf5985de0

4120403424 has 96 divisors (see below), whose sum is σ = 11482158240. Its totient is φ = 1289306112.

The previous prime is 4120403387. The next prime is 4120403429. The reversal of 4120403424 is 4243040214.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 4120403394 and 4120403403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4120403429) 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 15 ways as a sum of consecutive naturals, for example, 664402 + ... + 670574.

It is an arithmetic number, because the mean of its divisors is an integer number (119605815).

Almost surely, 24120403424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4120403424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5741079120).

4120403424 is an abundant number, since it is smaller than the sum of its proper divisors (7361754816).

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

4120403424 is a wasteful number, since it uses less digits than its factorization.

4120403424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6612 (or 6604 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 4120403424 is about 64190.3686233379. The cubic root of 4120403424 is about 1603.1712395389.

Adding to 4120403424 its reverse (4243040214), we get a palindrome (8363443638).

The spelling of 4120403424 in words is "four billion, one hundred twenty million, four hundred three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 409 544 816 818 1227 1632 1636 2454 3272 4908 6173 6544 6953 9816 12346 13088 13906 18519 19632 20859 24692 27812 37038 39264 41718 49384 55624 74076 83436 98768 104941 111248 148152 166872 197536 209882 222496 296304 314823 333744 419764 592608 629646 667488 839528 1259292 1679056 2518584 2524757 3358112 5037168 5049514 7574271 10074336 10099028 15148542 20198056 30297084 40396112 42920869 60594168 80792224 85841738 121188336 128762607 171683476 242376672 257525214 343366952 515050428 686733904 1030100856 1373467808 2060201712 4120403424