Search a number
-
+
1272384 = 2632472
BaseRepresentation
bin100110110101001000000
32101122101100
410312221000
5311204014
643134400
713546401
oct4665100
92348340
101272384
11799a63
12514400
133571b9
142519a8
151a2009
hex136a40

1272384 has 63 divisors (see below), whose sum is σ = 3726307. Its totient is φ = 415104.

The previous prime is 1272379. The next prime is 1272409. The reversal of 1272384 is 4832721.

1272384 = 13 + 23 + ... + 473.

The square root of 1272384 is 1128.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×12723842 = 3237922086912, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (2688) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27049 + ... + 27095.

21272384 is an apocalyptic number.

1272384 is the 1128-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1272384

1272384 is an abundant number, since it is smaller than the sum of its proper divisors (2453923).

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

1272384 is an equidigital number, since it uses as much as digits as its factorization.

1272384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 52 counting only the distinct ones).

The product of its digits is 2688, while the sum is 27.

The cubic root of 1272384 is about 108.3609323503.

The spelling of 1272384 in words is "one million, two hundred seventy-two thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 141 144 188 192 282 288 376 423 564 576 752 846 1128 1504 1692 2209 2256 3008 3384 4418 4512 6627 6768 8836 9024 13254 13536 17672 19881 26508 27072 35344 39762 53016 70688 79524 106032 141376 159048 212064 318096 424128 636192 1272384