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1145472 = 27319157
BaseRepresentation
bin100010111101010000000
32011012021220
410113222000
5243123342
640315040
712510366
oct4275200
92135256
101145472
11712679
12472a80
133114c3
1421b636
151795ec
hex117a80

1145472 has 64 divisors (see below), whose sum is σ = 3223200. Its totient is φ = 359424.

The previous prime is 1145461. The next prime is 1145479. The reversal of 1145472 is 2745411.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×11454722 = 2624212205568, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1145479) 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, 7218 + ... + 7374.

21145472 is an apocalyptic number.

1145472 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 1145472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611600).

1145472 is an abundant number, since it is smaller than the sum of its proper divisors (2077728).

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

1145472 is a wasteful number, since it uses less digits than its factorization.

1145472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 181 counting only the distinct ones).

The product of its digits is 1120, while the sum is 24.

The square root of 1145472 is about 1070.2672563430. The cubic root of 1145472 is about 104.6312689925.

The spelling of 1145472 in words is "one million, one hundred forty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 157 192 228 304 314 384 456 471 608 628 912 942 1216 1256 1824 1884 2432 2512 2983 3648 3768 5024 5966 7296 7536 8949 10048 11932 15072 17898 20096 23864 30144 35796 47728 60288 71592 95456 143184 190912 286368 381824 572736 1145472