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1055460 = 223572359
BaseRepresentation
bin100000001101011100100
31222121211010
410001223210
5232233320
634342220
711654100
oct4015344
91877733
101055460
11660a8a
1242a970
132ac543
141d6900
1515cae0
hex101ae4

1055460 has 72 divisors (see below), whose sum is σ = 3447360. Its totient is φ = 240576.

The previous prime is 1055437. The next prime is 1055471. The reversal of 1055460 is 645501.

It is a happy number.

It is a super-2 number, since 2×10554602 = 2227991623200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2761 + ... + 3119.

It is an arithmetic number, because the mean of its divisors is an integer number (47880).

21055460 is an apocalyptic number.

1055460 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 1055460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1723680).

1055460 is an abundant number, since it is smaller than the sum of its proper divisors (2391900).

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

1055460 is a wasteful number, since it uses less digits than its factorization.

1055460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1055460 is about 1027.3558293016. The cubic root of 1055460 is about 101.8155065585.

It can be divided in two parts, 105 and 5460, that added together give a triangular number (5565 = T105).

The spelling of 1055460 in words is "one million, fifty-five thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 359 420 490 588 718 735 980 1077 1436 1470 1795 2154 2513 2940 3590 4308 5026 5385 7180 7539 10052 10770 12565 15078 17591 21540 25130 30156 35182 37695 50260 52773 70364 75390 87955 105546 150780 175910 211092 263865 351820 527730 1055460