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2123384928 = 253731101929
BaseRepresentation
bin111111010010000…
…0100100001100000
312110222112010112020
41332210010201200
513322041304203
6550411301440
7103422321420
oct17644044140
95428463466
102123384928
1199a660585
124b314a880
1327abb7bb2
14162016480
15c6636153
hex7e904860

2123384928 has 96 divisors (see below), whose sum is σ = 6575708160. Its totient is φ = 587105280.

The previous prime is 2123384927. The next prime is 2123384953. The reversal of 2123384928 is 8294833212.

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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2123384928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123384927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30133 + ... + 71796.

It is an arithmetic number, because the mean of its divisors is an integer number (68496960).

Almost surely, 22123384928 is an apocalyptic number.

2123384928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2123384928 is an abundant number, since it is smaller than the sum of its proper divisors (4452323232).

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

2123384928 is a wasteful number, since it uses less digits than its factorization.

2123384928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101980 (or 101972 counting only the distinct ones).

The product of its digits is 165888, while the sum is 42.

The square root of 2123384928 is about 46080.2010412281. The cubic root of 2123384928 is about 1285.3150025890.

The spelling of 2123384928 in words is "two billion, one hundred twenty-three million, three hundred eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 101929 203858 305787 407716 611574 713503 815432 1223148 1427006 1630864 2140509 2446296 2854012 3159799 3261728 4281018 4892592 5708024 6319598 8562036 9479397 9785184 11416048 12639196 17124072 18958794 22118593 22832096 25278392 34248144 37917588 44237186 50556784 66355779 68496288 75835176 88474372 101113568 132711558 151670352 176948744 265423116 303340704 353897488 530846232 707794976 1061692464 2123384928