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2008032390 = 233571381727
BaseRepresentation
bin111011110110000…
…0010010010000110
312011221110121121000
41313230002102012
513103024014030
6531131034130
7100521664560
oct16754022206
95157417530
102008032390
11940533501
1248059b946
1326002a460
1415098a330
15bb44c860
hex77b02486

2008032390 has 128 divisors (see below), whose sum is σ = 6590545920. Its totient is φ = 423667584.

The previous prime is 2008032317. The next prime is 2008032391. The reversal of 2008032390 is 932308002.

It is a super-2 number, since 2×20080323902 = 8064388158578224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2008032391) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16294 + ... + 65433.

It is an arithmetic number, because the mean of its divisors is an integer number (51488640).

Almost surely, 22008032390 is an apocalyptic number.

2008032390 is an abundant number, since it is smaller than the sum of its proper divisors (4582513530).

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

2008032390 is a wasteful number, since it uses less digits than its factorization.

2008032390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81763 (or 81757 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2008032390 is about 44811.0744124709. The cubic root of 2008032390 is about 1261.6054930930.

The spelling of 2008032390 in words is "two billion, eight million, thirty-two thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 585 630 702 819 910 945 1170 1365 1638 1755 1890 2457 2730 3510 4095 4914 8190 12285 24570 81727 163454 245181 408635 490362 572089 735543 817270 1062451 1144178 1225905 1471086 1716267 2124902 2206629 2451810 2860445 3187353 3432534 3677715 4413258 5148801 5312255 5720890 6374706 7355430 7437157 8581335 9562059 10297602 10624510 11033145 14874314 15446403 15936765 17162670 19124118 22066290 22311471 25744005 28686177 30892806 31873530 37185785 44622942 47810295 51488010 57372354 66934413 74371570 77232015 95620590 111557355 133868826 143430885 154464030 200803239 223114710 286861770 334672065 401606478 669344130 1004016195 2008032390