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1676870640 = 243356711587
BaseRepresentation
bin110001111110011…
…0000001111110000
311022212022212002000
41203330300033300
511413234330030
6434221054000
756361110454
oct14374601760
94285285060
101676870640
11790605805
123a96b7300
1320953b963
1411c9c4664
159c335860
hex63f303f0

1676870640 has 160 divisors (see below), whose sum is σ = 5862600960. Its totient is φ = 440453376.

The previous prime is 1676870621. The next prime is 1676870647. The reversal of 1676870640 is 460786761.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1676870647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138927 + ... + 150513.

It is an arithmetic number, because the mean of its divisors is an integer number (36641256).

Almost surely, 21676870640 is an apocalyptic number.

1676870640 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 1676870640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2931300480).

1676870640 is an abundant number, since it is smaller than the sum of its proper divisors (4185730320).

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

1676870640 is a wasteful number, since it uses less digits than its factorization.

1676870640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11676 (or 11664 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 1676870640 is about 40949.6109871632. The cubic root of 1676870640 is about 1188.0458098854.

The spelling of 1676870640 in words is "one billion, six hundred seventy-six million, eight hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 67 72 80 90 108 120 134 135 144 180 201 216 240 268 270 335 360 402 432 536 540 603 670 720 804 1005 1072 1080 1206 1340 1608 1809 2010 2160 2412 2680 3015 3216 3618 4020 4824 5360 6030 7236 8040 9045 9648 11587 12060 14472 16080 18090 23174 24120 28944 34761 36180 46348 48240 57935 69522 72360 92696 104283 115870 139044 144720 173805 185392 208566 231740 278088 312849 347610 417132 463480 521415 556176 625698 695220 776329 834264 926960 1042830 1251396 1390440 1552658 1564245 1668528 2085660 2328987 2502792 2780880 3105316 3128490 3881645 4171320 4657974 5005584 6210632 6256980 6986961 7763290 8342640 9315948 11644935 12421264 12513960 13973922 15526580 18631896 20960883 23289870 25027920 27947844 31053160 34934805 37263792 41921766 46579740 55895688 62106320 69869610 83843532 93159480 104804415 111791376 139739220 167687064 186318960 209608830 279478440 335374128 419217660 558956880 838435320 1676870640