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20001120 = 253541669
BaseRepresentation
bin100110001001…
…1000101100000
31101122011101020
41030103011200
520110013440
61552405440
7332002206
oct114230540
941564336
1020001120
1110321157
126846880
1341b3aa9
142929076
151b513d0
hex1313160

20001120 has 48 divisors (see below), whose sum is σ = 63005040. Its totient is φ = 5333504.

The previous prime is 20001083. The next prime is 20001139. The reversal of 20001120 is 2110002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 20001099 and 20001108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20355 + ... + 21314.

It is an arithmetic number, because the mean of its divisors is an integer number (1312605).

Almost surely, 220001120 is an apocalyptic number.

20001120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20001120 is an abundant number, since it is smaller than the sum of its proper divisors (43003920).

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

20001120 is a wasteful number, since it uses less digits than its factorization.

20001120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41687 (or 41679 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20001120 is about 4472.2611730533. The cubic root of 20001120 is about 271.4468284778.

Adding to 20001120 its reverse (2110002), we get a palindrome (22111122).

The spelling of 20001120 in words is "twenty million, one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 41669 83338 125007 166676 208345 250014 333352 416690 500028 625035 666704 833380 1000056 1250070 1333408 1666760 2000112 2500140 3333520 4000224 5000280 6667040 10000560 20001120