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1296192 = 26343157
BaseRepresentation
bin100111100011101000000
32102212001010
410330131000
5312434232
643440520
714005662
oct4743500
92385033
101296192
11805937
12526140
13364ca1
1425a532
151a90cc
hex13c740

1296192 has 56 divisors (see below), whose sum is σ = 3531616. Its totient is φ = 419328.

The previous prime is 1296187. The next prime is 1296209. The reversal of 1296192 is 2916921.

It is a happy number.

It is a super-2 number, since 2×12961922 = 3360227401728, which contains 22 as substring.

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, 8178 + ... + 8334.

21296192 is an apocalyptic number.

1296192 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 1296192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1765808).

1296192 is an abundant number, since it is smaller than the sum of its proper divisors (2235424).

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

1296192 is a wasteful number, since it uses less digits than its factorization.

1296192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 205 counting only the distinct ones).

The product of its digits is 1944, while the sum is 30.

The square root of 1296192 is about 1138.5042819419. The cubic root of 1296192 is about 109.0326193651.

It can be divided in two parts, 1296 and 192, that multiplied together give a 5-th power (248832 = 125).

The spelling of 1296192 in words is "one million, two hundred ninety-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 64 86 96 129 157 172 192 258 314 344 471 516 628 688 942 1032 1256 1376 1884 2064 2512 2752 3768 4128 5024 6751 7536 8256 10048 13502 15072 20253 27004 30144 40506 54008 81012 108016 162024 216032 324048 432064 648096 1296192