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1055533700 = 2252131037883
BaseRepresentation
bin111110111010100…
…010101010000100
32201120011200000202
4332322202222010
54130204034300
6252423430032
735104613504
oct7672425204
92646150022
101055533700
114a1904101
122555b5318
1313a8b2270
14a0285a04
1562a00ad5
hex3eea2a84

1055533700 has 72 divisors (see below), whose sum is σ = 2490965568. Its totient is φ = 385902720.

The previous prime is 1055533697. The next prime is 1055533709. The reversal of 1055533700 is 73355501.

1055533700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10555337002 = 2228302783671380000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1055533709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 129959 + ... + 137841.

It is an arithmetic number, because the mean of its divisors is an integer number (34596744).

Almost surely, 21055533700 is an apocalyptic number.

1055533700 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 1055533700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245482784).

1055533700 is an abundant number, since it is smaller than the sum of its proper divisors (1435431868).

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

1055533700 is a wasteful number, since it uses less digits than its factorization.

1055533700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8013 (or 8006 counting only the distinct ones).

The product of its (nonzero) digits is 7875, while the sum is 29.

The square root of 1055533700 is about 32488.9781310524. The cubic root of 1055533700 is about 1018.1787633982.

The spelling of 1055533700 in words is "one billion, fifty-five million, five hundred thirty-three thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 412 515 650 1030 1300 1339 2060 2575 2678 5150 5356 6695 7883 10300 13390 15766 26780 31532 33475 39415 66950 78830 102479 133900 157660 197075 204958 394150 409916 512395 788300 811949 1024790 1623898 2049580 2561975 3247796 4059745 5123950 8119490 10247900 10555337 16238980 20298725 21110674 40597450 42221348 52776685 81194900 105553370 211106740 263883425 527766850 1055533700