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11381790 = 235783653
BaseRepresentation
bin101011011010…
…110000011110
3210102020212210
4223122300132
510403204130
61043541250
7165513030
oct53326036
923366783
1011381790
116474342
12398a826
1324867b4
141723c50
15eec5b0
hexadac1e

11381790 has 64 divisors (see below), whose sum is σ = 31643136. Its totient is φ = 2566272.

The previous prime is 11381761. The next prime is 11381813. The reversal of 11381790 is 9718311.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17104 + ... + 17756.

It is an arithmetic number, because the mean of its divisors is an integer number (494424).

Almost surely, 211381790 is an apocalyptic number.

11381790 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 11381790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15821568).

11381790 is an abundant number, since it is smaller than the sum of its proper divisors (20261346).

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

11381790 is a wasteful number, since it uses less digits than its factorization.

11381790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753.

The product of its (nonzero) digits is 1512, while the sum is 30.

The square root of 11381790 is about 3373.6908572067. The cubic root of 11381790 is about 224.9418121137.

The spelling of 11381790 in words is "eleven million, three hundred eighty-one thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 653 830 1162 1245 1306 1743 1959 2490 2905 3265 3486 3918 4571 5810 6530 8715 9142 9795 13713 17430 19590 22855 27426 45710 54199 68565 108398 137130 162597 270995 325194 379393 541990 758786 812985 1138179 1625970 1896965 2276358 3793930 5690895 11381790