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2032681104 = 2432191037213
BaseRepresentation
bin111100100101000…
…0100000010010000
312020122211220021100
41321022010002100
513130331243404
6533411224400
7101241334656
oct17112040220
95218756240
102032681104
11953439443
124888a8100
1326517a7ac
14153d64dd6
15bd6bad39
hex79284090

2032681104 has 120 divisors (see below), whose sum is σ = 6047063360. Its totient is φ = 635579136.

The previous prime is 2032681103. The next prime is 2032681117. The reversal of 2032681104 is 4011862302.

It is not an unprimeable number, because it can be changed into a prime (2032681103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 278202 + ... + 285414.

Almost surely, 22032681104 is an apocalyptic number.

2032681104 is a gapful number since it is divisible by the number (24) 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 2032681104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3023531680).

2032681104 is an abundant number, since it is smaller than the sum of its proper divisors (4014382256).

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

2032681104 is a wasteful number, since it uses less digits than its factorization.

2032681104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7349 (or 7340 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2032681104 is about 45085.2648212251. The cubic root of 2032681104 is about 1266.7466078202.

The spelling of 2032681104 in words is "two billion, thirty-two million, six hundred eighty-one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 103 114 144 152 171 206 228 304 309 342 412 456 618 684 824 912 927 1236 1368 1648 1854 1957 2472 2736 3708 3914 4944 5871 7213 7416 7828 11742 14426 14832 15656 17613 21639 23484 28852 31312 35226 43278 46968 57704 64917 70452 86556 93936 115408 129834 137047 140904 173112 259668 274094 281808 346224 411141 519336 548188 742939 822282 1038672 1096376 1233423 1485878 1644564 2192752 2228817 2466846 2971756 3289128 4457634 4933692 5943512 6578256 6686451 8915268 9867384 11887024 13372902 14115841 17830536 19734768 26745804 28231682 35661072 42347523 53491608 56463364 84695046 106983216 112926728 127042569 169390092 225853456 254085138 338780184 508170276 677560368 1016340552 2032681104