Search a number
-
+
1465152 = 26313587
BaseRepresentation
bin101100101101101000000
32202102210220
411211231000
5333341102
651223040
715311403
oct5455500
92672726
101465152
11910877
125a7a80
133c3b70
142a1d3a
151de1bc
hex165b40

1465152 has 56 divisors (see below), whose sum is σ = 4181856. Its totient is φ = 450048.

The previous prime is 1465141. The next prime is 1465171. The reversal of 1465152 is 2515641.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2203 + ... + 2789.

It is an arithmetic number, because the mean of its divisors is an integer number (74676).

21465152 is an apocalyptic number.

1465152 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 1465152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2090928).

1465152 is an abundant number, since it is smaller than the sum of its proper divisors (2716704).

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

1465152 is a wasteful number, since it uses less digits than its factorization.

1465152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 605 counting only the distinct ones).

The product of its digits is 1200, while the sum is 24.

The square root of 1465152 is about 1210.4346326836. The cubic root of 1465152 is about 113.5780027500.

The spelling of 1465152 in words is "one million, four hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 587 624 832 1174 1248 1761 2348 2496 3522 4696 7044 7631 9392 14088 15262 18784 22893 28176 30524 37568 45786 56352 61048 91572 112704 122096 183144 244192 366288 488384 732576 1465152