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1385296 = 241117463
BaseRepresentation
bin101010010001101010000
32121101021021
411102031100
5323312141
645405224
714526523
oct5221520
92541237
101385296
11866880
12569814
13396703
14280bba
151c56d1
hex152350

1385296 has 40 divisors (see below), whose sum is σ = 3106944. Its totient is φ = 591360.

The previous prime is 1385291. The next prime is 1385299. The reversal of 1385296 is 6925831.

1385296 = T171 + T172 + ... + T236.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1385291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2761 + ... + 3223.

21385296 is an apocalyptic number.

1385296 is a gapful number since it is divisible by the number (16) 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 1385296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1553472).

1385296 is an abundant number, since it is smaller than the sum of its proper divisors (1721648).

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

1385296 is a wasteful number, since it uses less digits than its factorization.

1385296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

The product of its digits is 12960, while the sum is 34.

The square root of 1385296 is about 1176.9859812249. The cubic root of 1385296 is about 111.4758673398.

It can be divided in two parts, 1385 and 296, that added together give a square (1681 = 412).

The spelling of 1385296 in words is "one million, three hundred eighty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 176 187 272 374 463 748 926 1496 1852 2992 3704 5093 7408 7871 10186 15742 20372 31484 40744 62968 81488 86581 125936 173162 346324 692648 1385296