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1457040 = 243513467
BaseRepresentation
bin101100011101110010000
32202000200110
411203232100
5333111130
651121320
715245634
oct5435620
92660613
101457040
11905772
125a3240
133c0270
1429cdc4
151dbab0
hex163b90

1457040 has 80 divisors (see below), whose sum is σ = 4874688. Its totient is φ = 357888.

The previous prime is 1457039. The next prime is 1457051. The reversal of 1457040 is 407541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1456998 and 1457016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2887 + ... + 3353.

21457040 is an apocalyptic number.

1457040 is a gapful number since it is divisible by the number (10) 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 1457040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437344).

1457040 is an abundant number, since it is smaller than the sum of its proper divisors (3417648).

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

1457040 is a wasteful number, since it uses less digits than its factorization.

1457040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 1457040 is about 1207.0791191964. The cubic root of 1457040 is about 113.3680016969.

The spelling of 1457040 in words is "one million, four hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 467 520 624 780 934 1040 1401 1560 1868 2335 2802 3120 3736 4670 5604 6071 7005 7472 9340 11208 12142 14010 18213 18680 22416 24284 28020 30355 36426 37360 48568 56040 60710 72852 91065 97136 112080 121420 145704 182130 242840 291408 364260 485680 728520 1457040