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1253472 = 253111187
BaseRepresentation
bin100110010000001100000
32100200102220
410302001200
5310102342
642511040
713440303
oct4620140
92320386
101253472
11786830
12505480
1334b6cc
14248b3a
1519b5ec
hex132060

1253472 has 48 divisors (see below), whose sum is σ = 3592512. Its totient is φ = 379520.

The previous prime is 1253471. The next prime is 1253479. The reversal of 1253472 is 2743521.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a d-powerful number, because it can be written as 1 + 29 + 57 + 38 + 410 + 76 + 211 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253471) 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, 463 + ... + 1649.

It is an arithmetic number, because the mean of its divisors is an integer number (74844).

21253472 is an apocalyptic number.

1253472 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 1253472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796256).

1253472 is an abundant number, since it is smaller than the sum of its proper divisors (2339040).

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

1253472 is a wasteful number, since it uses less digits than its factorization.

1253472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1211 (or 1203 counting only the distinct ones).

The product of its digits is 1680, while the sum is 24.

The square root of 1253472 is about 1119.5856376356. The cubic root of 1253472 is about 107.8213782649.

Adding to 1253472 its reverse (2743521), we get a palindrome (3996993).

The spelling of 1253472 in words is "one million, two hundred fifty-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1187 2374 3561 4748 7122 9496 13057 14244 18992 26114 28488 37984 39171 52228 56976 78342 104456 113952 156684 208912 313368 417824 626736 1253472