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1672416020 = 2251122330047
BaseRepresentation
bin110001110101111…
…0000101100010100
311022112221112111002
41203223300230110
511411114303040
6433541402432
756305205312
oct14353605424
94275845432
101672416020
11789042a00
123a8109418
1320863c1a2
1411c1850b2
159bc55a15
hex63af0b14

1672416020 has 72 divisors (see below), whose sum is σ = 4028355072. Its totient is φ = 581690560.

The previous prime is 1672416013. The next prime is 1672416041. The reversal of 1672416020 is 206142761.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40637 + ... + 70683.

It is an arithmetic number, because the mean of its divisors is an integer number (55949376).

Almost surely, 21672416020 is an apocalyptic number.

1672416020 is a gapful number since it is divisible by the number (10) 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 1672416020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2014177536).

1672416020 is an abundant number, since it is smaller than the sum of its proper divisors (2355939052).

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

1672416020 is a wasteful number, since it uses less digits than its factorization.

1672416020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30101 (or 30088 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 1672416020 is about 40895.1833349601. The cubic root of 1672416020 is about 1186.9928592747.

Adding to 1672416020 its reverse (206142761), we get a palindrome (1878558781).

The spelling of 1672416020 in words is "one billion, six hundred seventy-two million, four hundred sixteen thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 121 220 230 242 253 460 484 506 605 1012 1210 1265 2420 2530 2783 5060 5566 11132 13915 27830 30047 55660 60094 120188 150235 300470 330517 600940 661034 691081 1322068 1382162 1652585 2764324 3305170 3455405 3635687 6610340 6910810 7271374 7601891 13821620 14542748 15203782 18178435 30407564 36356870 38009455 72713740 76018910 83620801 152037820 167241602 334483204 418104005 836208010 1672416020