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1055220 = 223543409
BaseRepresentation
bin100000001100111110100
31222121111020
410001213310
5232231340
634341140
711653305
oct4014764
91877436
101055220
11660891
1242a7b0
132ac3ba
141d67ac
1515c9d0
hex1019f4

1055220 has 48 divisors (see below), whose sum is σ = 3030720. Its totient is φ = 274176.

The previous prime is 1055191. The next prime is 1055231. The reversal of 1055220 is 225501.

1055220 = T5 + T6 + ... + T184.

It is a super-2 number, since 2×10552202 = 2226978496800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1055220.

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, 2376 + ... + 2784.

It is an arithmetic number, because the mean of its divisors is an integer number (63140).

21055220 is an apocalyptic number.

1055220 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 1055220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515360).

1055220 is an abundant number, since it is smaller than the sum of its proper divisors (1975500).

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

1055220 is a wasteful number, since it uses less digits than its factorization.

1055220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 1055220 is about 1027.2390179505. The cubic root of 1055220 is about 101.8077887312.

It can be divided in two parts, 1055 and 220, that added together give a triangular number (1275 = T50).

The spelling of 1055220 in words is "one million, fifty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 409 430 516 645 818 860 1227 1290 1636 2045 2454 2580 4090 4908 6135 8180 12270 17587 24540 35174 52761 70348 87935 105522 175870 211044 263805 351740 527610 1055220