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1054400706 = 233193133151
BaseRepresentation
bin111110110110001…
…110000011000010
32201111001002212000
4332312032003002
54124411310311
6252343244430
735062154352
oct7666160302
92644032760
101054400706
114a11aa947
12255149716
1313a5a6658
14a006cb62
156287a056
hex3ed8e0c2

1054400706 has 64 divisors (see below), whose sum is σ = 2546073600. Its totient is φ = 322218000.

The previous prime is 1054400701. The next prime is 1054400713. The reversal of 1054400706 is 6070044501.

1054400706 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 2×10544007062 = 2223521697626596872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1054400706.

It is not an unprimeable number, because it can be changed into a prime (1054400701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15231 + ... + 48381.

It is an arithmetic number, because the mean of its divisors is an integer number (39782400).

Almost surely, 21054400706 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054400706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1273036800).

1054400706 is an abundant number, since it is smaller than the sum of its proper divisors (1491672894).

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

1054400706 is a wasteful number, since it uses less digits than its factorization.

1054400706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33212 (or 33206 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1054400706 is about 32471.5368592249. The cubic root of 1054400706 is about 1017.8143337184.

The spelling of 1054400706 in words is "one billion, fifty-four million, four hundred thousand, seven hundred six".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 171 186 279 342 513 558 589 837 1026 1178 1674 1767 3534 5301 10602 15903 31806 33151 66302 99453 198906 298359 596718 629869 895077 1027681 1259738 1790154 1889607 2055362 3083043 3779214 5668821 6166086 9249129 11337642 17006463 18498258 19525939 27747387 34012926 39051878 55494774 58577817 117155634 175733451 351466902 527200353 1054400706