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1055578420 = 2251334911633
BaseRepresentation
bin111110111010101…
…101100100110100
32201120020221101001
4332322231210310
54130212002140
6252424413044
735105161051
oct7672554464
92646227331
101055578420
114a1934766
12255617184
1313a8c9720
14a0298028
1562a0de9a
hex3eead934

1055578420 has 48 divisors (see below), whose sum is σ = 2394277200. Its totient is φ = 388601856.

The previous prime is 1055578417. The next prime is 1055578441. The reversal of 1055578420 is 248755501.

It can be written as a sum of positive squares in 8 ways, for example, as 2965284 + 1052613136 = 1722^2 + 32444^2 .

It is a super-2 number, since 2×10555784202 = 2228491601539392800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1055578420.

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, 84924 + ... + 96556.

It is an arithmetic number, because the mean of its divisors is an integer number (49880775).

Almost surely, 21055578420 is an apocalyptic number.

1055578420 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 1055578420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1197138600).

1055578420 is an abundant number, since it is smaller than the sum of its proper divisors (1338698780).

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

1055578420 is a wasteful number, since it uses less digits than its factorization.

1055578420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12004 (or 12002 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 37.

The square root of 1055578420 is about 32489.6663571666. Note that the first 3 decimals coincide. The cubic root of 1055578420 is about 1018.1931423205.

The spelling of 1055578420 in words is "one billion, fifty-five million, five hundred seventy-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 698 1396 1745 3490 4537 6980 9074 11633 18148 22685 23266 45370 46532 58165 90740 116330 151229 232660 302458 604916 756145 1512290 3024580 4059917 8119834 16239668 20299585 40599170 52778921 81198340 105557842 211115684 263894605 527789210 1055578420