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1673533980 = 223358337339
BaseRepresentation
bin110001111000000…
…0001101000011100
311022122001100001000
41203300001220130
511411411041410
6434021350300
756320542546
oct14360015034
94278040030
101673533980
11789736938
123a8568390
13208940cc1
1411c396696
159bdc6dc0
hex63c01a1c

1673533980 has 96 divisors (see below), whose sum is σ = 5269420800. Its totient is φ = 440887104.

The previous prime is 1673533969. The next prime is 1673533999. The reversal of 1673533980 is 893353761.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 26151 + ... + 63489.

It is an arithmetic number, because the mean of its divisors is an integer number (54889800).

Almost surely, 21673533980 is an apocalyptic number.

1673533980 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 1673533980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634710400).

1673533980 is an abundant number, since it is smaller than the sum of its proper divisors (3595886820).

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

1673533980 is a wasteful number, since it uses less digits than its factorization.

1673533980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37440 (or 37432 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 1673533980 is about 40908.8496538341. The cubic root of 1673533980 is about 1187.2572900826.

The spelling of 1673533980 in words is "one billion, six hundred seventy-three million, five hundred thirty-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 83 90 108 135 166 180 249 270 332 415 498 540 747 830 996 1245 1494 1660 2241 2490 2988 3735 4482 4980 7470 8964 11205 14940 22410 37339 44820 74678 112017 149356 186695 224034 336051 373390 448068 560085 672102 746780 1008153 1120170 1344204 1680255 2016306 2240340 3099137 3360510 4032612 5040765 6198274 6721020 9297411 10081530 12396548 15495685 18594822 20163060 27892233 30991370 37189644 46487055 55784466 61982740 83676699 92974110 111568932 139461165 167353398 185948220 278922330 334706796 418383495 557844660 836766990 1673533980