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1061055400 = 235241831559
BaseRepresentation
bin111111001111100…
…110101110101000
32201221120012101011
4333033212232220
54133112233100
6253142033304
735202551656
oct7717465650
92657505334
101061055400
114a4a35699
12257418834
1313ba96642
14a0cc1dd6
1563241bba
hex3f3e6ba8

1061055400 has 96 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 408819200.

The previous prime is 1061055397. The next prime is 1061055421. The reversal of 1061055400 is 45501601.

It is a super-2 number, since 2×10610554002 = 2251677123738320000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 679821 + ... + 681379.

It is an arithmetic number, because the mean of its divisors is an integer number (26658450).

Almost surely, 21061055400 is an apocalyptic number.

1061055400 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 1061055400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

1061055400 is an abundant number, since it is smaller than the sum of its proper divisors (1498155800).

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

1061055400 is a wasteful number, since it uses less digits than its factorization.

1061055400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1699 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1061055400 is about 32573.8453364045. The cubic root of 1061055400 is about 1019.9511062043.

The spelling of 1061055400 in words is "one billion, sixty-one million, fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 83 100 164 166 200 205 328 332 410 415 664 820 830 1025 1559 1640 1660 2050 2075 3118 3320 3403 4100 4150 6236 6806 7795 8200 8300 12472 13612 15590 16600 17015 27224 31180 34030 38975 62360 63919 68060 77950 85075 127838 129397 136120 155900 170150 255676 258794 311800 319595 340300 511352 517588 639190 646985 680600 1035176 1278380 1293970 1597975 2556760 2587940 3195950 3234925 5175880 5305277 6391900 6469850 10610554 12783800 12939700 21221108 25879400 26526385 42442216 53052770 106105540 132631925 212211080 265263850 530527700 1061055400