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1060011828 = 2232291735869
BaseRepresentation
bin111111001011100…
…111111100110100
32201212121011212100
4333023213330310
54132330334303
6253103422100
735160644331
oct7713477464
92655534770
101060011828
114a4392637
12256bb4930
1313b7bc645
14a0acd988
15630d78a3
hex3f2e7f34

1060011828 has 72 divisors (see below), whose sum is σ = 2788367400. Its totient is φ = 339123456.

The previous prime is 1060011817. The next prime is 1060011847. The reversal of 1060011828 is 8281100601.

It can be written as a sum of positive squares in 4 ways, for example, as 168272784 + 891739044 = 12972^2 + 29862^2 .

It is a super-2 number, since 2×10600118282 = 2247250150999803168, which contains 22 as substring.

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, 177678 + ... + 183546.

It is an arithmetic number, because the mean of its divisors is an integer number (38727325).

Almost surely, 21060011828 is an apocalyptic number.

1060011828 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 1060011828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1394183700).

1060011828 is an abundant number, since it is smaller than the sum of its proper divisors (1728355572).

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

1060011828 is a wasteful number, since it uses less digits than its factorization.

1060011828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6081 (or 6076 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 1060011828 is about 32557.8228387587. The cubic root of 1060011828 is about 1019.6166148548.

The spelling of 1060011828 in words is "one billion, sixty million, eleven thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 29 36 58 87 116 173 174 261 346 348 519 522 692 1038 1044 1557 2076 3114 5017 5869 6228 10034 11738 15051 17607 20068 23476 30102 35214 45153 52821 60204 70428 90306 105642 170201 180612 211284 340402 510603 680804 1015337 1021206 1531809 2030674 2042412 3046011 3063618 4061348 6092022 6127236 9138033 12184044 18276066 29444773 36552132 58889546 88334319 117779092 176668638 265002957 353337276 530005914 1060011828