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1393152 = 293907
BaseRepresentation
bin101010100001000000000
32121210001020
411110020000
5324040102
645505440
714561445
oct5241000
92553036
101393152
11871772
12572280
1339a167
142839cc
151c7bbc
hex154200

1393152 has 40 divisors (see below), whose sum is σ = 3715536. Its totient is φ = 463872.

The previous prime is 1393141. The next prime is 1393159. The reversal of 1393152 is 2513931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (1393159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1083 + ... + 1989.

21393152 is an apocalyptic number.

1393152 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 1393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857768).

1393152 is an abundant number, since it is smaller than the sum of its proper divisors (2322384).

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

1393152 is an frugal number, since it uses more digits than its factorization.

1393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 912 counting only the distinct ones).

The product of its digits is 810, while the sum is 24.

The square root of 1393152 is about 1180.3186010565. The cubic root of 1393152 is about 111.6861964307.

The spelling of 1393152 in words is "one million, three hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 907 1536 1814 2721 3628 5442 7256 10884 14512 21768 29024 43536 58048 87072 116096 174144 232192 348288 464384 696576 1393152