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1055628 = 223275971
BaseRepresentation
bin100000001101110001100
31222122001100
410001232030
5232240003
634343100
711654430
oct4015614
91878040
101055628
11661122
1242aa90
132ac642
141d69c0
1515cba3
hex101b8c

1055628 has 72 divisors (see below), whose sum is σ = 3144960. Its totient is φ = 292320.

The previous prime is 1055611. The next prime is 1055671. The reversal of 1055628 is 8265501.

It is a super-2 number, since 2×10556282 = 2228700948768, which contains 22 as substring.

It is a zygodrome in base 11.

It is a congruent number.

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, 14833 + ... + 14903.

It is an arithmetic number, because the mean of its divisors is an integer number (43680).

21055628 is an apocalyptic number.

1055628 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 1055628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572480).

1055628 is an abundant number, since it is smaller than the sum of its proper divisors (2089332).

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

1055628 is a wasteful number, since it uses less digits than its factorization.

1055628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 1055628 is about 1027.4375893455. The cubic root of 1055628 is about 101.8209083415.

It can be divided in two parts, 105562 and 8, that added together give a triangular number (105570 = T459).

The spelling of 1055628 in words is "one million, fifty-five thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 59 63 71 84 118 126 142 177 213 236 252 284 354 413 426 497 531 639 708 826 852 994 1062 1239 1278 1491 1652 1988 2124 2478 2556 2982 3717 4189 4473 4956 5964 7434 8378 8946 12567 14868 16756 17892 25134 29323 37701 50268 58646 75402 87969 117292 150804 175938 263907 351876 527814 1055628