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1457028 = 22351499
BaseRepresentation
bin101100011101110000100
32202000200000
411203232010
5333111103
651121300
715245616
oct5435604
92660600
101457028
11905761
125a3230
133c0261
1429cdb6
151dbaa3
hex163b84

1457028 has 36 divisors (see below), whose sum is σ = 3822000. Its totient is φ = 485352.

The previous prime is 1457021. The next prime is 1457033. The reversal of 1457028 is 8207541.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1456992 and 1457010.

It is not an unprimeable number, because it can be changed into a prime (1457021) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 223 + ... + 1721.

21457028 is an apocalyptic number.

1457028 is a gapful number since it is divisible by the number (18) 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 1457028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911000).

1457028 is an abundant number, since it is smaller than the sum of its proper divisors (2364972).

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

1457028 is a wasteful number, since it uses less digits than its factorization.

1457028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 1457028 is about 1207.0741485095. The cubic root of 1457028 is about 113.3676904678.

The spelling of 1457028 in words is "one million, four hundred fifty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 1499 2998 4497 5996 8994 13491 17988 26982 40473 53964 80946 121419 161892 242838 364257 485676 728514 1457028