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39240990 = 2335237189
BaseRepresentation
bin1001010110110…
…0010100011110
32201211122112000
42111230110132
540021202430
63521023130
7654354135
oct225542436
981748460
1039240990
1120172378
1211184aa6
13818c229
1452d691c
1536a1e60
hex256c51e

39240990 has 128 divisors (see below), whose sum is σ = 111974400. Its totient is φ = 9757440.

The previous prime is 39240961. The next prime is 39240991. The reversal of 39240990 is 9904293.

39240990 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39240991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440866 + ... + 440954.

It is an arithmetic number, because the mean of its divisors is an integer number (874800).

Almost surely, 239240990 is an apocalyptic number.

39240990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39240990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55987200).

39240990 is an abundant number, since it is smaller than the sum of its proper divisors (72733410).

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

39240990 is a wasteful number, since it uses less digits than its factorization.

39240990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 39240990 is about 6264.2629255165. The cubic root of 39240990 is about 339.8182130871.

The spelling of 39240990 in words is "thirty-nine million, two hundred forty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 71 89 90 115 135 138 142 178 207 213 230 267 270 345 355 414 426 445 534 621 639 690 710 801 890 1035 1065 1242 1278 1335 1602 1633 1917 2047 2070 2130 2403 2670 3105 3195 3266 3834 4005 4094 4806 4899 6141 6210 6319 6390 8010 8165 9585 9798 10235 12015 12282 12638 14697 16330 18423 18957 19170 20470 24030 24495 29394 30705 31595 36846 37914 44091 48990 55269 56871 61410 63190 73485 88182 92115 94785 110538 113742 145337 146970 170613 184230 189570 220455 276345 284355 290674 341226 436011 440910 552690 568710 726685 853065 872022 1308033 1453370 1706130 2180055 2616066 3924099 4360110 6540165 7848198 13080330 19620495 39240990