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4073056120 = 235780917981
BaseRepresentation
bin1111001011000101…
…1110011101111000
3101111212011200121101
43302301132131320
531320200243440
61512055421144
7202635256120
oct36261363570
911455150541
104073056120
111800152391
129580847b4
134cbac02a3
142a8d2dc80
1518c8a669a
hexf2c5e778

4073056120 has 64 divisors (see below), whose sum is σ = 10487102400. Its totient is φ = 1394672640.

The previous prime is 4073056111. The next prime is 4073056123. The reversal of 4073056120 is 216503704.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073056123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 217530 + ... + 235510.

It is an arithmetic number, because the mean of its divisors is an integer number (163860975).

Almost surely, 24073056120 is an apocalyptic number.

4073056120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4073056120 is an abundant number, since it is smaller than the sum of its proper divisors (6414046280).

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

4073056120 is a wasteful number, since it uses less digits than its factorization.

4073056120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18808 (or 18804 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 4073056120 is about 63820.4992145941. The cubic root of 4073056120 is about 1597.0069200366.

Adding to 4073056120 its reverse (216503704), we get a palindrome (4289559824).

The spelling of 4073056120 in words is "four billion, seventy-three million, fifty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 809 1618 3236 4045 5663 6472 8090 11326 16180 17981 22652 28315 32360 35962 45304 56630 71924 89905 113260 125867 143848 179810 226520 251734 359620 503468 629335 719240 1006936 1258670 2517340 5034680 14546629 29093258 58186516 72733145 101826403 116373032 145466290 203652806 290932580 407305612 509132015 581865160 814611224 1018264030 2036528060 4073056120