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200320120 = 235711135003
BaseRepresentation
bin10111111000010…
…10010001111000
3111221221022112201
423330022101320
5402240220440
631513315544
74651456450
oct1374122170
9457838481
10200320120
11a3091520
1257105bb4
1332669c20
141c866d60
15128be19a
hexbf0a478

200320120 has 128 divisors (see below), whose sum is σ = 605283840. Its totient is φ = 57623040.

The previous prime is 200320093. The next prime is 200320147. The reversal of 200320120 is 21023002.

200320120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (200320093) and next prime (200320147).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200320097 and 200320106.

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, 37539 + ... + 42541.

It is an arithmetic number, because the mean of its divisors is an integer number (4728780).

Almost surely, 2200320120 is an apocalyptic number.

200320120 is a gapful number since it is divisible by the number (20) 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 200320120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302641920).

200320120 is an abundant number, since it is smaller than the sum of its proper divisors (404963720).

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

200320120 is a wasteful number, since it uses less digits than its factorization.

200320120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5045 (or 5041 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 200320120 is about 14153.4490496133. The cubic root of 200320120 is about 585.1153935077.

Adding to 200320120 its reverse (21023002), we get a palindrome (221343122).

The spelling of 200320120 in words is "two hundred million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5003 5005 5720 8008 10006 10010 20012 20020 25015 35021 40024 40040 50030 55033 65039 70042 100060 110066 130078 140084 175105 200120 220132 260156 275165 280168 325195 350210 385231 440264 455273 520312 550330 650390 700420 715429 770462 910546 1100660 1300780 1400840 1430858 1540924 1821092 1926155 2201320 2276365 2601560 2861716 3081848 3577145 3642184 3852310 4552730 5008003 5723432 7154290 7704620 9105460 10016006 14308580 15409240 18210920 20032012 25040015 28617160 40064024 50080030 100160060 200320120