Search a number
-
+
1374688 = 25717192
BaseRepresentation
bin101001111100111100000
32120211201101
411033213200
5322442223
645244144
714453560
oct5174740
92524641
101374688
11859907
12563654
13391933
1427ada0
151c24ad
hex14f9e0

1374688 has 72 divisors (see below), whose sum is σ = 3456432. Its totient is φ = 525312.

The previous prime is 1374683. The next prime is 1374691. The reversal of 1374688 is 8864731.

It is a happy number.

Its product of digits (32256) is a multiple of the sum of its prime factors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1374683) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 72343 + ... + 72361.

It is an arithmetic number, because the mean of its divisors is an integer number (48006).

21374688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1374688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728216).

1374688 is an abundant number, since it is smaller than the sum of its proper divisors (2081744).

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

1374688 is a wasteful number, since it uses less digits than its factorization.

1374688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 45 counting only the distinct ones).

The product of its digits is 32256, while the sum is 37.

The square root of 1374688 is about 1172.4708951612. The cubic root of 1374688 is about 111.1905932039.

The spelling of 1374688 in words is "one million, three hundred seventy-four thousand, six hundred eighty-eight".

Divisors: 1 2 4 7 8 14 16 17 19 28 32 34 38 56 68 76 112 119 133 136 152 224 238 266 272 304 323 361 476 532 544 608 646 722 952 1064 1292 1444 1904 2128 2261 2527 2584 2888 3808 4256 4522 5054 5168 5776 6137 9044 10108 10336 11552 12274 18088 20216 24548 36176 40432 42959 49096 72352 80864 85918 98192 171836 196384 343672 687344 1374688