Search a number
-
+
2016001932 = 2237296113567
BaseRepresentation
bin111100000101001…
…1011111110001100
312012111110111202020
41320022123332030
513112044030212
6532013530140
7100646506440
oct17012337614
95174414666
102016001932
11944a870aa
124831a3950
1326188aa69
14151a62820
15bbec3d8c
hex7829bf8c

2016001932 has 96 divisors (see below), whose sum is σ = 5652971520. Its totient is φ = 546981120.

The previous prime is 2016001921. The next prime is 2016002039. The reversal of 2016001932 is 2391006102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141813 + ... + 155379.

It is an arithmetic number, because the mean of its divisors is an integer number (58885120).

Almost surely, 22016001932 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 2016001932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826485760).

2016001932 is an abundant number, since it is smaller than the sum of its proper divisors (3636969588).

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

2016001932 is a wasteful number, since it uses less digits than its factorization.

2016001932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13671 (or 13669 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 2016001932 is about 44899.9101558121. The cubic root of 2016001932 is about 1263.2723230763.

The spelling of 2016001932 in words is "two billion, sixteen million, one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 29 42 58 61 84 87 116 122 174 183 203 244 348 366 406 427 609 732 812 854 1218 1281 1708 1769 2436 2562 3538 5124 5307 7076 10614 12383 13567 21228 24766 27134 37149 40701 49532 54268 74298 81402 94969 148596 162804 189938 284907 379876 393443 569814 786886 827587 1139628 1180329 1573772 1655174 2360658 2482761 2754101 3310348 4721316 4965522 5508202 5793109 8262303 9931044 11016404 11586218 16524606 17379327 23172436 24000023 33049212 34758654 48000046 69517308 72000069 96000092 144000138 168000161 288000276 336000322 504000483 672000644 1008000966 2016001932