Search a number
-
+
39189240 = 23325234733
BaseRepresentation
bin1001010101111…
…1101011111000
32201202000112100
42111133223320
540013023430
63515543400
7654050226
oct225375370
981660470
1039189240
1120137502
121115ab60
1381717cc
1452c1b16
153691960
hex255faf8

39189240 has 96 divisors (see below), whose sum is σ = 132930720. Its totient is φ = 9993984.

The previous prime is 39189221. The next prime is 39189257. The reversal of 39189240 is 4298193.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 39189195 and 39189204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5914 + ... + 10646.

It is an arithmetic number, because the mean of its divisors is an integer number (1384695).

Almost surely, 239189240 is an apocalyptic number.

39189240 is a gapful number since it is divisible by the number (30) 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 39189240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66465360).

39189240 is an abundant number, since it is smaller than the sum of its proper divisors (93741480).

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

39189240 is a wasteful number, since it uses less digits than its factorization.

39189240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4773 (or 4766 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 39189240 is about 6260.1309890449. The cubic root of 39189240 is about 339.6687662232.

The spelling of 39189240 in words is "thirty-nine million, one hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 30 36 40 45 46 60 69 72 90 92 115 120 138 180 184 207 230 276 345 360 414 460 552 690 828 920 1035 1380 1656 2070 2760 4140 4733 8280 9466 14199 18932 23665 28398 37864 42597 47330 56796 70995 85194 94660 108859 113592 141990 170388 189320 212985 217718 283980 326577 340776 425970 435436 544295 567960 653154 851940 870872 979731 1088590 1306308 1632885 1703880 1959462 2177180 2612616 3265770 3918924 4354360 4898655 6531540 7837848 9797310 13063080 19594620 39189240