Search a number
-
+
4374568120 = 2351379831283
BaseRepresentation
bin1000001001011111…
…01001110010111000
3102021212112002022111
410010233221302320
532424342134440
62002030102104
7213256133626
oct40457516270
912255462274
104374568120
11194536985a
12a2104a934
135493ca360
142d6db8516
151a90b34ea
hex104be9cb8

4374568120 has 128 divisors (see below), whose sum is σ = 10871884800. Its totient is φ = 1574337024.

The previous prime is 4374568111. The next prime is 4374568147. The reversal of 4374568120 is 218654734.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3408999 + ... + 3410281.

It is an arithmetic number, because the mean of its divisors is an integer number (84936600).

Almost surely, 24374568120 is an apocalyptic number.

4374568120 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 4374568120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5435942400).

4374568120 is an abundant number, since it is smaller than the sum of its proper divisors (6497316680).

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

4374568120 is a wasteful number, since it uses less digits than its factorization.

4374568120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 40.

The square root of 4374568120 is about 66140.5179901095. The cubic root of 4374568120 is about 1635.4793358712.

The spelling of 4374568120 in words is "four billion, three hundred seventy-four million, five hundred sixty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 79 83 104 130 158 166 260 316 332 395 415 520 632 664 790 830 1027 1079 1283 1580 1660 2054 2158 2566 3160 3320 4108 4316 5132 5135 5395 6415 6557 8216 8632 10264 10270 10790 12830 13114 16679 20540 21580 25660 26228 32785 33358 41080 43160 51320 52456 65570 66716 83395 85241 101357 106489 131140 133432 166790 170482 202714 212978 262280 333580 340964 405428 425956 426205 506785 532445 667160 681928 810856 851912 852410 1013570 1064890 1317641 1384357 1704820 2027140 2129780 2635282 2768714 3409640 4054280 4259560 5270564 5537428 6588205 6921785 8412631 10541128 11074856 13176410 13843570 16825262 26352820 27687140 33650524 42063155 52705640 55374280 67301048 84126310 109364203 168252620 218728406 336505240 437456812 546821015 874913624 1093642030 2187284060 4374568120