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1285152 = 253111217
BaseRepresentation
bin100111001110000100000
32102021220020
410321300200
5312111102
643313440
713631541
oct4716040
92367806
101285152
117a8610
1251b880
1335cc5b
142564c8
151a5bbc
hex139c20

1285152 has 48 divisors (see below), whose sum is σ = 3683232. Its totient is φ = 389120.

The previous prime is 1285147. The next prime is 1285159. The reversal of 1285152 is 2515821.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1285159) 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, 448 + ... + 1664.

It is an arithmetic number, because the mean of its divisors is an integer number (76734).

21285152 is an apocalyptic number.

1285152 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 1285152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1841616).

1285152 is an abundant number, since it is smaller than the sum of its proper divisors (2398080).

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

1285152 is a wasteful number, since it uses less digits than its factorization.

1285152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1241 (or 1233 counting only the distinct ones).

The product of its digits is 800, while the sum is 24.

The square root of 1285152 is about 1133.6454472188. The cubic root of 1285152 is about 108.7221833995.

The spelling of 1285152 in words is "one million, two hundred eighty-five thousand, one hundred fifty-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 1217 2434 3651 4868 7302 9736 13387 14604 19472 26774 29208 38944 40161 53548 58416 80322 107096 116832 160644 214192 321288 428384 642576 1285152