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1426272 = 25383179
BaseRepresentation
bin101011100001101100000
32200110110220
411130031200
5331120042
650323040
715060141
oct5341540
92613426
101426272
11894641
12589480
133ac263
14291ac8
151d28ec
hex15c360

1426272 has 48 divisors (see below), whose sum is σ = 3810240. Its totient is φ = 467072.

The previous prime is 1426247. The next prime is 1426277. The reversal of 1426272 is 2726241.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1426277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7879 + ... + 8057.

It is an arithmetic number, because the mean of its divisors is an integer number (79380).

21426272 is an apocalyptic number.

1426272 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 1426272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1905120).

1426272 is an abundant number, since it is smaller than the sum of its proper divisors (2383968).

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

1426272 is a wasteful number, since it uses less digits than its factorization.

1426272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 267 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 1426272 is about 1194.2663019612. The cubic root of 1426272 is about 112.5643286413.

The spelling of 1426272 in words is "one million, four hundred twenty-six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 83 96 166 179 249 332 358 498 537 664 716 996 1074 1328 1432 1992 2148 2656 2864 3984 4296 5728 7968 8592 14857 17184 29714 44571 59428 89142 118856 178284 237712 356568 475424 713136 1426272