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273364020 = 2232519671193
BaseRepresentation
bin10000010010110…
…011010000110100
3201001101022221100
4100102303100310
51024440122040
643043050100
76526361436
oct2022632064
9631338840
10273364020
11130341486
1277670930
1344833077
142843c656
1518eebb30
hex104b3434

273364020 has 144 divisors (see below), whose sum is σ = 886616640. Its totient is φ = 67972608.

The previous prime is 273364009. The next prime is 273364027. The reversal of 273364020 is 20463372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (273364027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228544 + ... + 229736.

It is an arithmetic number, because the mean of its divisors is an integer number (6157060).

Almost surely, 2273364020 is an apocalyptic number.

273364020 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 273364020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (443308320).

273364020 is an abundant number, since it is smaller than the sum of its proper divisors (613252620).

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

273364020 is a wasteful number, since it uses less digits than its factorization.

273364020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1289 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 273364020 is about 16533.7237185094. The cubic root of 273364020 is about 649.0036174135.

The spelling of 273364020 in words is "two hundred seventy-three million, three hundred sixty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 67 76 90 95 114 134 171 180 190 201 228 268 285 335 342 380 402 570 603 670 684 804 855 1005 1140 1193 1206 1273 1340 1710 2010 2386 2412 2546 3015 3420 3579 3819 4020 4772 5092 5965 6030 6365 7158 7638 10737 11457 11930 12060 12730 14316 15276 17895 19095 21474 22667 22914 23860 25460 35790 38190 42948 45334 45828 53685 57285 68001 71580 76380 79931 90668 107370 113335 114570 136002 159862 204003 214740 226670 229140 239793 272004 319724 340005 399655 408006 453340 479586 680010 719379 799310 816012 959172 1020015 1198965 1360020 1438758 1518689 1598620 2040030 2397930 2877516 3037378 3596895 4080060 4556067 4795860 6074756 7193790 7593445 9112134 13668201 14387580 15186890 18224268 22780335 27336402 30373780 45560670 54672804 68341005 91121340 136682010 273364020