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1533140 = 225747233
BaseRepresentation
bin101110110010011010100
32212220001222
411312103110
5343030030
652505512
716013540
oct5662324
92786058
101533140
11957964
1261b298
13418aab
142bca20
152043e5
hex1764d4

1533140 has 48 divisors (see below), whose sum is σ = 3773952. Its totient is φ = 512256.

The previous prime is 1533139. The next prime is 1533163. The reversal of 1533140 is 413351.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6464 + ... + 6696.

It is an arithmetic number, because the mean of its divisors is an integer number (78624).

21533140 is an apocalyptic number.

1533140 is a gapful number since it is divisible by the number (10) 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 1533140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886976).

1533140 is an abundant number, since it is smaller than the sum of its proper divisors (2240812).

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

1533140 is a wasteful number, since it uses less digits than its factorization.

1533140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 1533140 is about 1238.2003068971. The cubic root of 1533140 is about 115.3083094346.

Adding to 1533140 its reverse (413351), we get a palindrome (1946491).

The spelling of 1533140 in words is "one million, five hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 233 235 329 466 470 658 932 940 1165 1316 1631 1645 2330 3262 3290 4660 6524 6580 8155 10951 16310 21902 32620 43804 54755 76657 109510 153314 219020 306628 383285 766570 1533140