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1676013640 = 235722273767
BaseRepresentation
bin110001111100101…
…1111000001001000
311022210201022111021
41203321133001020
511413024414030
6434150442224
756350611100
oct14371370110
94283638437
101676013640
1179007a944
123a9363374
132092cb862
1411c840200
159c21697a
hex63e5f048

1676013640 has 96 divisors (see below), whose sum is σ = 4407203520. Its totient is φ = 571949952.

The previous prime is 1676013601. The next prime is 1676013641. The reversal of 1676013640 is 463106761.

It is a junction number, because it is equal to n+sod(n) for n = 1676013596 and 1676013605.

It is not an unprimeable number, because it can be changed into a prime (1676013641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443037 + ... + 446803.

It is an arithmetic number, because the mean of its divisors is an integer number (45908370).

Almost surely, 21676013640 is an apocalyptic number.

1676013640 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 1676013640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203601760).

1676013640 is an abundant number, since it is smaller than the sum of its proper divisors (2731189880).

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

1676013640 is a wasteful number, since it uses less digits than its factorization.

1676013640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4019 (or 4008 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1676013640 is about 40939.1455699798. The cubic root of 1676013640 is about 1187.8433834660.

The spelling of 1676013640 in words is "one billion, six hundred seventy-six million, thirteen thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 227 245 280 392 454 490 908 980 1135 1589 1816 1960 2270 3178 3767 4540 6356 7534 7945 9080 11123 12712 15068 15890 18835 22246 26369 30136 31780 37670 44492 52738 55615 63560 75340 88984 105476 111230 131845 150680 184583 210952 222460 263690 369166 444920 527380 738332 855109 922915 1054760 1476664 1710218 1845830 3420436 3691660 4275545 5985763 6840872 7383320 8551090 11971526 17102180 23943052 29928815 34204360 41900341 47886104 59857630 83800682 119715260 167601364 209501705 239430520 335202728 419003410 838006820 1676013640