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19048140 = 223252343107
BaseRepresentation
bin100100010101…
…0011011001100
31022211202010200
41020222123030
514334020030
61520133500
7320622636
oct110523314
938752120
1019048140
11a830171
126467290
133c3c0b7
14275ba56
151a13d60
hex122a6cc

19048140 has 144 divisors (see below), whose sum is σ = 62270208. Its totient is φ = 4701312.

The previous prime is 19048129. The next prime is 19048151. The reversal of 19048140 is 4184091.

It is an interprime number because it is at equal distance from previous prime (19048129) and next prime (19048151).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177967 + ... + 178073.

It is an arithmetic number, because the mean of its divisors is an integer number (432432).

Almost surely, 219048140 is an apocalyptic number.

19048140 is a gapful number since it is divisible by the number (10) 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 19048140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31135104).

19048140 is an abundant number, since it is smaller than the sum of its proper divisors (43222068).

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

19048140 is a wasteful number, since it uses less digits than its factorization.

19048140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 19048140 is about 4364.4174869048. The cubic root of 19048140 is about 267.0653377110.

The spelling of 19048140 in words is "nineteen million, forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 23 30 36 43 45 46 60 69 86 90 92 107 115 129 138 172 180 207 214 215 230 258 276 321 345 387 414 428 430 460 516 535 642 645 690 774 828 860 963 989 1035 1070 1284 1290 1380 1548 1605 1926 1935 1978 2070 2140 2461 2580 2967 3210 3852 3870 3956 4140 4601 4815 4922 4945 5934 6420 7383 7740 8901 9202 9630 9844 9890 11868 12305 13803 14766 14835 17802 18404 19260 19780 22149 23005 24610 27606 29532 29670 35604 36915 41409 44298 44505 46010 49220 55212 59340 69015 73830 82818 88596 89010 92020 105823 110745 138030 147660 165636 178020 207045 211646 221490 276060 317469 414090 423292 442980 529115 634938 828180 952407 1058230 1269876 1587345 1904814 2116460 3174690 3809628 4762035 6349380 9524070 19048140