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3200123420 = 2251359227919
BaseRepresentation
bin1011111010111110…
…0000001000011100
322021000121010001122
42332233200020130
523023212422140
61245313430112
7142205412614
oct27657401034
98230533048
103200123420
1113a24280aa
1275386b338
133bccb2a70
1422501ba44
1513ae24ab5
hexbebe021c

3200123420 has 96 divisors (see below), whose sum is σ = 7400332800. Its totient is φ = 1155181824.

The previous prime is 3200123387. The next prime is 3200123447. The reversal of 3200123420 is 243210023.

3200123420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 3481721 + ... + 3482639.

It is an arithmetic number, because the mean of its divisors is an integer number (77086800).

Almost surely, 23200123420 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 3200123420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3700166400).

3200123420 is an abundant number, since it is smaller than the sum of its proper divisors (4200209380).

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

3200123420 is a wasteful number, since it uses less digits than its factorization.

3200123420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1227 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 3200123420 is about 56569.6333733921. The cubic root of 3200123420 is about 1473.6315443446.

Adding to 3200123420 its reverse (243210023), we get a palindrome (3443333443).

The spelling of 3200123420 in words is "three billion, two hundred million, one hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 227 236 260 295 454 590 767 908 919 1135 1180 1534 1838 2270 2951 3068 3676 3835 4540 4595 5902 7670 9190 11804 11947 13393 14755 15340 18380 23894 26786 29510 47788 53572 54221 59020 59735 66965 108442 119470 133930 174109 208613 216884 238940 267860 271105 348218 417226 542210 696436 704873 834452 870545 1043065 1084420 1409746 1741090 2086130 2711969 2819492 3482180 3524365 4172260 5423938 7048730 10847876 12308167 13559845 14097460 24616334 27119690 49232668 54239380 61540835 123081670 160006171 246163340 320012342 640024684 800030855 1600061710 3200123420