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1450820 = 225743241
BaseRepresentation
bin101100010001101000100
32201201011002
411202031010
5332411240
651032432
715221540
oct5421504
92651132
101450820
11901028
1259b718
133ba497
1429aa20
151d9d15
hex162344

1450820 has 48 divisors (see below), whose sum is σ = 3577728. Its totient is φ = 483840.

The previous prime is 1450819. The next prime is 1450847. The reversal of 1450820 is 280541.

1450820 = T139 + T140 + ... + T224.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1450792 and 1450801.

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, 5900 + ... + 6140.

It is an arithmetic number, because the mean of its divisors is an integer number (74536).

21450820 is an apocalyptic number.

1450820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1204×1205.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1450820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1788864).

1450820 is an abundant number, since it is smaller than the sum of its proper divisors (2126908).

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

1450820 is a wasteful number, since it uses less digits than its factorization.

1450820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1450820 is about 1204.4998962225. The cubic root of 1450820 is about 113.2064516211.

The spelling of 1450820 in words is "one million, four hundred fifty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 241 301 430 482 602 860 964 1204 1205 1505 1687 2410 3010 3374 4820 6020 6748 8435 10363 16870 20726 33740 41452 51815 72541 103630 145082 207260 290164 362705 725410 1450820