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4324013120 = 26575473529
BaseRepresentation
bin1000000011011101…
…10011010001000000
3102011100101121220002
410001232303101000
532323421404440
61553022335132
7212103335150
oct40156632100
912140347802
104324013120
11191987a069
12a0812a4a8
1353baa945b
142d03b8760
151a4929115
hex101bb3440

4324013120 has 112 divisors (see below), whose sum is σ = 11792346240. Its totient is φ = 1479389184.

The previous prime is 4324013119. The next prime is 4324013147. The reversal of 4324013120 is 213104234.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 4324013092 and 4324013101.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223516 + ... + 1227044.

Almost surely, 24324013120 is an apocalyptic number.

4324013120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4324013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5896173120).

4324013120 is an abundant number, since it is smaller than the sum of its proper divisors (7468333120).

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

4324013120 is a wasteful number, since it uses less digits than its factorization.

4324013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4100 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 4324013120 is about 65757.2286520653. The cubic root of 4324013120 is about 1629.1547325594.

Adding to 4324013120 its reverse (213104234), we get a palindrome (4537117354).

The spelling of 4324013120 in words is "four billion, three hundred twenty-four million, thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 547 560 1094 1120 2188 2240 2735 3529 3829 4376 5470 7058 7658 8752 10940 14116 15316 17504 17645 19145 21880 24703 28232 30632 35008 35290 38290 43760 49406 56464 61264 70580 76580 87520 98812 112928 122528 123515 141160 153160 175040 197624 225856 245056 247030 282320 306320 395248 494060 564640 612640 790496 988120 1129280 1225280 1580992 1930363 1976240 3860726 3952480 7721452 7904960 9651815 13512541 15442904 19303630 27025082 30885808 38607260 54050164 61771616 67562705 77214520 108100328 123543232 135125410 154429040 216200656 270250820 308858080 432401312 540501640 617716160 864802624 1081003280 2162006560 4324013120