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1673653420 = 2252331241487
BaseRepresentation
bin110001111000001…
…1110110010101100
311022122021101212201
41203300132302230
511411423402140
6434024111244
756321551015
oct14360366254
94278241781
101673653420
1178980864a
123a8605524
1320898348a
1411c3c800c
159bdec49a
hex63c1ecac

1673653420 has 96 divisors (see below), whose sum is σ = 3809304576. Its totient is φ = 615859200.

The previous prime is 1673653391. The next prime is 1673653463. The reversal of 1673653420 is 243563761.

It is a super-2 number, since 2×16736534202 = 5602231540555392800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1673653420.

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, 3436417 + ... + 3436903.

It is an arithmetic number, because the mean of its divisors is an integer number (39680256).

Almost surely, 21673653420 is an apocalyptic number.

1673653420 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 1673653420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904652288).

1673653420 is an abundant number, since it is smaller than the sum of its proper divisors (2135651156).

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

1673653420 is a wasteful number, since it uses less digits than its factorization.

1673653420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The square root of 1673653420 is about 40910.3094586194. The cubic root of 1673653420 is about 1187.2855342332.

The spelling of 1673653420 in words is "one billion, six hundred seventy-three million, six hundred fifty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 46 62 92 115 124 155 230 241 310 460 482 487 620 713 964 974 1205 1426 1948 2410 2435 2852 3565 4820 4870 5543 7130 7471 9740 11086 11201 14260 14942 15097 22172 22402 27715 29884 30194 37355 44804 55430 56005 60388 74710 75485 110860 112010 117367 149420 150970 171833 224020 234734 301940 343666 347231 469468 586835 687332 694462 859165 1173670 1388924 1718330 1736155 2347340 2699441 3436660 3472310 3638377 5398882 6944620 7276754 10797764 13497205 14553508 18191885 26994410 36383770 53988820 72767540 83682671 167365342 334730684 418413355 836826710 1673653420