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385118720 = 295721491
BaseRepresentation
bin10110111101000…
…111001000000000
3222211200001120022
4112331013020000
51242042244340
6102114233012
712354312050
oct2675071000
9884601508
10385118720
11188431438
12a8b85768
1361a30ccc
143920d560
1523c243b5
hex16f47200

385118720 has 80 divisors (see below), whose sum is σ = 1055343168. Its totient is φ = 132034560.

The previous prime is 385118717. The next prime is 385118729. The reversal of 385118720 is 27811583.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (385118729) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7175 + ... + 28665.

Almost surely, 2385118720 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 385118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527671584).

385118720 is an abundant number, since it is smaller than the sum of its proper divisors (670224448).

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

385118720 is an equidigital number, since it uses as much as digits as its factorization.

385118720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21521 (or 21505 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 385118720 is about 19624.4419028924. The cubic root of 385118720 is about 727.5534031801.

The spelling of 385118720 in words is "three hundred eighty-five million, one hundred eighteen thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1792 2240 2560 3584 4480 8960 17920 21491 42982 85964 107455 150437 171928 214910 300874 343856 429820 601748 687712 752185 859640 1203496 1375424 1504370 1719280 2406992 2750848 3008740 3438560 4813984 5501696 6017480 6877120 9627968 11003392 12034960 13754240 19255936 24069920 27508480 38511872 48139840 55016960 77023744 96279680 192559360 385118720