Search a number
-
+
13769352 = 2337787
BaseRepresentation
bin110100100001…
…101010001000
3221220120000000
4310201222020
512011104402
61211043000
7225015612
oct64415210
927816000
1013769352
117855133
124740460
132b1145c
141b85db2
15131ec1c
hexd21a88

13769352 has 64 divisors (see below), whose sum is σ = 38769600. Its totient is φ = 4583952.

The previous prime is 13769351. The next prime is 13769359. The reversal of 13769352 is 25396731.

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

It is not an unprimeable number, because it can be changed into a prime (13769351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17103 + ... + 17889.

It is an arithmetic number, because the mean of its divisors is an integer number (605775).

Almost surely, 213769352 is an apocalyptic number.

13769352 is a gapful number since it is divisible by the number (12) 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 13769352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19384800).

13769352 is an abundant number, since it is smaller than the sum of its proper divisors (25000248).

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

13769352 is an frugal number, since it uses more digits than its factorization.

13769352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 814 (or 792 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 13769352 is about 3710.7077492036. The cubic root of 13769352 is about 239.6833323571.

The spelling of 13769352 in words is "thirteen million, seven hundred sixty-nine thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 787 972 1458 1574 1944 2187 2361 2916 3148 4374 4722 5832 6296 7083 8748 9444 14166 17496 18888 21249 28332 42498 56664 63747 84996 127494 169992 191241 254988 382482 509976 573723 764964 1147446 1529928 1721169 2294892 3442338 4589784 6884676 13769352