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1676635380 = 2232572335711
BaseRepresentation
bin110001111101111…
…0110110011110100
311022211212220100200
41203323312303310
511413204313010
6434212040500
756356110540
oct14373666364
94284786320
101676635380
11790464a82
123a9603130
13209488854
1411c962a20
159c2dacc0
hex63ef6cf4

1676635380 has 144 divisors (see below), whose sum is σ = 5838303744. Its totient is φ = 381519360.

The previous prime is 1676635379. The next prime is 1676635417. The reversal of 1676635380 is 835366761.

1676635380 is a `hidden beast` number, since 1 + 6 + 7 + 6 + 635 + 3 + 8 + 0 = 666.

It is a super-2 number, since 2×16766353802 = 5622212394935488800, which contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 290725 + ... + 296435.

It is an arithmetic number, because the mean of its divisors is an integer number (40543776).

Almost surely, 21676635380 is an apocalyptic number.

1676635380 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 1676635380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2919151872).

1676635380 is an abundant number, since it is smaller than the sum of its proper divisors (4161668364).

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

1676635380 is a wasteful number, since it uses less digits than its factorization.

1676635380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5966 (or 5961 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1676635380 is about 40946.7383316425. The cubic root of 1676635380 is about 1187.9902475137.

The spelling of 1676635380 in words is "one billion, six hundred seventy-six million, six hundred thirty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 233 252 315 420 466 630 699 932 1165 1260 1398 1631 2097 2330 2796 3262 3495 4194 4660 4893 5711 6524 6990 8155 8388 9786 10485 11422 13980 14679 16310 17133 19572 20970 22844 24465 28555 29358 32620 34266 39977 41940 48930 51399 57110 58716 68532 73395 79954 85665 97860 102798 114220 119931 146790 159908 171330 199885 205596 239862 256995 293580 342660 359793 399770 479724 513990 599655 719586 799540 1027980 1199310 1330663 1439172 1798965 2398620 2661326 3597930 3991989 5322652 6653315 7195860 7983978 9314641 11975967 13306630 15967956 18629282 19959945 23951934 26613260 27943923 37258564 39919890 46573205 47903868 55887846 59879835 79839780 83831769 93146410 111775692 119759670 139719615 167663538 186292820 239519340 279439230 335327076 419158845 558878460 838317690 1676635380