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20103072 = 2531119037
BaseRepresentation
bin100110010101…
…1111110100000
31101211100020020
41030223332200
520121244242
61554513440
7332605353
oct114537640
941740206
1020103072
1110390810
126895880
13421b312
14295429a
151b716ec
hex132bfa0

20103072 has 48 divisors (see below), whose sum is σ = 57570912. Its totient is φ = 6091520.

The previous prime is 20103071. The next prime is 20103091. The reversal of 20103072 is 27030102.

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

It is not an unprimeable number, because it can be changed into a prime (20103071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8463 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (1199394).

Almost surely, 220103072 is an apocalyptic number.

20103072 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

20103072 is an abundant number, since it is smaller than the sum of its proper divisors (37467840).

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

20103072 is a wasteful number, since it uses less digits than its factorization.

20103072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19061 (or 19053 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 20103072 is about 4483.6449458002. The cubic root of 20103072 is about 271.9072636569.

Adding to 20103072 its reverse (27030102), we get a palindrome (47133174).

It can be divided in two parts, 201030 and 72, that added together give a palindrome (201102).

The spelling of 20103072 in words is "twenty million, one hundred three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 19037 38074 57111 76148 114222 152296 209407 228444 304592 418814 456888 609184 628221 837628 913776 1256442 1675256 1827552 2512884 3350512 5025768 6701024 10051536 20103072