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1356272 = 24293779
BaseRepresentation
bin101001011000111110000
32112220110022
411023013300
5321400042
645023012
714346101
oct5130760
92486408
101356272
11846a95
12554a68
13386438
142743a8
151bbcd2
hex14b1f0

1356272 has 40 divisors (see below), whose sum is σ = 2827200. Its totient is φ = 628992.

The previous prime is 1356269. The next prime is 1356319. The reversal of 1356272 is 2726531.

It is a d-powerful number, because it can be written as 1 + 33 + 5 + 63 + 213 + 77 + 219 .

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, 17129 + ... + 17207.

It is an arithmetic number, because the mean of its divisors is an integer number (70680).

21356272 is an apocalyptic number.

1356272 is the 623-rd centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1356272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1413600).

1356272 is an abundant number, since it is smaller than the sum of its proper divisors (1470928).

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

1356272 is a wasteful number, since it uses less digits than its factorization.

1356272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 147 counting only the distinct ones).

The product of its digits is 2520, while the sum is 26.

The square root of 1356272 is about 1164.5909153003. The cubic root of 1356272 is about 110.6918379543.

The spelling of 1356272 in words is "one million, three hundred fifty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 37 58 74 79 116 148 158 232 296 316 464 592 632 1073 1264 2146 2291 2923 4292 4582 5846 8584 9164 11692 17168 18328 23384 36656 46768 84767 169534 339068 678136 1356272