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1082920784 = 241129331641
BaseRepresentation
bin100000010001100…
…0000111101010000
32210110201002001012
41000203000331100
54204211431114
6255242430052
735556450311
oct10043007520
92713632035
101082920784
1150630a460
12262802328
13143480b3a
14a3b74608
156511063e
hex408c0f50

1082920784 has 80 divisors (see below), whose sum is σ = 2378687040. Its totient is φ = 473088000.

The previous prime is 1082920771. The next prime is 1082920831. The reversal of 1082920784 is 4870292801.

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, 1689104 + ... + 1689744.

It is an arithmetic number, because the mean of its divisors is an integer number (29733588).

Almost surely, 21082920784 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 1082920784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189343520).

1082920784 is an abundant number, since it is smaller than the sum of its proper divisors (1295766256).

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

1082920784 is a wasteful number, since it uses less digits than its factorization.

1082920784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 41.

The square root of 1082920784 is about 32907.7617591960. The cubic root of 1082920784 is about 1026.9096374023.

It can be divided in two parts, 10829 and 20784, that multiplied together give a triangular number (225069936 = T21216).

The spelling of 1082920784 in words is "one billion, eighty-two million, nine hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 331 464 638 641 662 1276 1282 1324 2552 2564 2648 3641 5104 5128 5296 7051 7282 9599 10256 14102 14564 18589 19198 28204 29128 37178 38396 56408 58256 74356 76792 105589 112816 148712 153584 204479 211178 212171 297424 408958 422356 424342 817916 844712 848684 1635832 1689424 1697368 2333881 3271664 3394736 4667762 6152959 9335524 12305918 18671048 24611836 37342096 49223672 67682549 98447344 135365098 270730196 541460392 1082920784