Search a number
-
+
11377002 = 2371367311
BaseRepresentation
bin101011011001…
…100101101010
3210102000022110
4223121211222
510403031002
61043503150
7165463050
oct53314552
923360273
1011377002
11647078a
123987ab6
132484570
1417221d0
15eeae6c
hexad996a

11377002 has 64 divisors (see below), whose sum is σ = 28514304. Its totient is φ = 2946240.

The previous prime is 11376997. The next prime is 11377007. The reversal of 11377002 is 20077311.

It is an interprime number because it is at equal distance from previous prime (11376997) and next prime (11377007).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 11377002.

It is not an unprimeable number, because it can be changed into a prime (11377007) 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 31 ways as a sum of consecutive naturals, for example, 36427 + ... + 36737.

It is an arithmetic number, because the mean of its divisors is an integer number (445536).

Almost surely, 211377002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11377002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14257152).

11377002 is an abundant number, since it is smaller than the sum of its proper divisors (17137302).

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

11377002 is a wasteful number, since it uses less digits than its factorization.

11377002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403.

The product of its (nonzero) digits is 294, while the sum is 21.

The square root of 11377002 is about 3372.9811739765. The cubic root of 11377002 is about 224.9102654514.

The spelling of 11377002 in words is "eleven million, three hundred seventy-seven thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 67 78 91 134 182 201 273 311 402 469 546 622 871 933 938 1407 1742 1866 2177 2613 2814 4043 4354 5226 6097 6531 8086 12129 12194 13062 18291 20837 24258 28301 36582 41674 56602 62511 84903 125022 145859 169806 270881 291718 437577 541762 812643 875154 1625286 1896167 3792334 5688501 11377002