Search a number
-
+
1414665640 = 235416179179
BaseRepresentation
bin101010001010010…
…0001010110101000
310122120221110102201
41110110201112220
510344123300030
6352213105544
750025313423
oct12424412650
93576843381
101414665640
116665a6263
123359282b4
13197114b7b
14d5c4c9ba
15842e02ca
hex545215a8

1414665640 has 128 divisors (see below), whose sum is σ = 3374784000. Its totient is φ = 533145600.

The previous prime is 1414665631. The next prime is 1414665641. The reversal of 1414665640 is 465664141.

It is a self number, because there is not a number n which added to its sum of digits gives 1414665640.

It is not an unprimeable number, because it can be changed into a prime (1414665641) 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, 7903071 + ... + 7903249.

It is an arithmetic number, because the mean of its divisors is an integer number (26365500).

Almost surely, 21414665640 is an apocalyptic number.

1414665640 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 1414665640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1687392000).

1414665640 is an abundant number, since it is smaller than the sum of its proper divisors (1960118360).

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

1414665640 is a wasteful number, since it uses less digits than its factorization.

1414665640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 1414665640 is about 37612.0411570550. The cubic root of 1414665640 is about 1122.5816403172.

The spelling of 1414665640 in words is "one billion, four hundred fourteen million, six hundred sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 61 79 82 122 158 164 179 205 244 305 316 328 358 395 410 488 610 632 716 790 820 895 1220 1432 1580 1640 1790 2440 2501 3160 3239 3580 4819 5002 6478 7160 7339 9638 10004 10919 12505 12956 14141 14678 16195 19276 20008 21838 24095 25010 25912 28282 29356 32390 36695 38552 43676 48190 50020 54595 56564 58712 64780 70705 73390 87352 96380 100040 109190 113128 129560 141410 146780 192760 197579 218380 282820 293560 395158 436760 447679 565640 579781 790316 862601 895358 987895 1159562 1580632 1725202 1790716 1975790 2238395 2319124 2898905 3450404 3581432 3951580 4313005 4476790 4638248 5797810 6900808 7903160 8626010 8953580 11595620 17252020 17907160 23191240 34504040 35366641 70733282 141466564 176833205 282933128 353666410 707332820 1414665640