Search a number
-
+
1083802464 = 25334332897
BaseRepresentation
bin100000010011001…
…1000001101100000
32210112100212111000
41000212120031200
54204423134324
6255313352000
735600111643
oct10046301540
92715325430
101083802464
11506861918
12262b68600
131436cc244
14a3d23a5a
15652369c9
hex40998360

1083802464 has 96 divisors (see below), whose sum is σ = 3169484640. Its totient is φ = 360308736.

The previous prime is 1083802451. The next prime is 1083802477. The reversal of 1083802464 is 4642083801.

It is an interprime number because it is at equal distance from previous prime (1083802451) and next prime (1083802477).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372664 + ... + 375560.

It is an arithmetic number, because the mean of its divisors is an integer number (33015465).

Almost surely, 21083802464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1083802464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1584742320).

1083802464 is an abundant number, since it is smaller than the sum of its proper divisors (2085682176).

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

1083802464 is a wasteful number, since it uses less digits than its factorization.

1083802464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3349 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 1083802464 is about 32921.1552652698. The cubic root of 1083802464 is about 1027.1882542984.

The spelling of 1083802464 in words is "one billion, eighty-three million, eight hundred two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 433 864 866 1299 1732 2598 2897 3464 3897 5196 5794 6928 7794 8691 10392 11588 11691 13856 15588 17382 20784 23176 23382 26073 31176 34764 41568 46352 46764 52146 62352 69528 78219 92704 93528 104292 124704 139056 156438 187056 208584 278112 312876 374112 417168 625752 834336 1251504 1254401 2503008 2508802 3763203 5017604 7526406 10035208 11289609 15052812 20070416 22579218 30105624 33868827 40140832 45158436 60211248 67737654 90316872 120422496 135475308 180633744 270950616 361267488 541901232 1083802464