[go: up one dir, main page]

Search a number
-
+
1377090 = 23251113107
BaseRepresentation
bin101010000001101000010
32120222000100
411100031002
5323031330
645303230
714463561
oct5201502
92528010
101377090
118606a0
12564b16
13392a60
1427bbd8
151c3060
hex150342

1377090 has 96 divisors (see below), whose sum is σ = 4245696. Its totient is φ = 305280.

The previous prime is 1377071. The next prime is 1377107. The reversal of 1377090 is 907731.

1377090 = T61 + T62 + ... + T203.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12817 + ... + 12923.

It is an arithmetic number, because the mean of its divisors is an integer number (44226).

21377090 is an apocalyptic number.

1377090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2122848).

1377090 is an abundant number, since it is smaller than the sum of its proper divisors (2868606).

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

1377090 is a wasteful number, since it uses less digits than its factorization.

1377090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 1377090 is about 1173.4947805593. The cubic root of 1377090 is about 111.2553168355.

It can be divided in two parts, 137 and 7090, that added together give a palindrome (7227).

The spelling of 1377090 in words is "one million, three hundred seventy-seven thousand, ninety".

Divisors: 1 2 3 5 6 9 10 11 13 15 18 22 26 30 33 39 45 55 65 66 78 90 99 107 110 117 130 143 165 195 198 214 234 286 321 330 390 429 495 535 585 642 715 858 963 990 1070 1170 1177 1287 1391 1430 1605 1926 2145 2354 2574 2782 3210 3531 4173 4290 4815 5885 6435 6955 7062 8346 9630 10593 11770 12519 12870 13910 15301 17655 20865 21186 25038 30602 35310 41730 45903 52965 62595 76505 91806 105930 125190 137709 153010 229515 275418 459030 688545 1377090