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1055436660 = 2232516735111
BaseRepresentation
bin111110111010001…
…010111101110100
32201112222201220200
4332322022331310
54130142433120
6252421400500
735104030545
oct7672127564
92645881820
101055436660
114a1848203
12255569130
1313a87a045
14a025c4cc
15629d1e90
hex3ee8af74

1055436660 has 72 divisors (see below), whose sum is σ = 3220753536. Its totient is φ = 279756480.

The previous prime is 1055436631. The next prime is 1055436703. The reversal of 1055436660 is 666345501.

It is a super-2 number, since 2×10554366602 = 2227893086543911200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 12505 + ... + 47615.

It is an arithmetic number, because the mean of its divisors is an integer number (44732688).

Almost surely, 21055436660 is an apocalyptic number.

1055436660 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 1055436660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1610376768).

1055436660 is an abundant number, since it is smaller than the sum of its proper divisors (2165316876).

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

1055436660 is a wasteful number, since it uses less digits than its factorization.

1055436660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35293 (or 35288 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 1055436660 is about 32487.4846671761. The cubic root of 1055436660 is about 1018.1475605115.

The spelling of 1055436660 in words is "one billion, fifty-five million, four hundred thirty-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 167 180 334 501 668 835 1002 1503 1670 2004 2505 3006 3340 5010 6012 7515 10020 15030 30060 35111 70222 105333 140444 175555 210666 315999 351110 421332 526665 631998 702220 1053330 1263996 1579995 2106660 3159990 5863537 6319980 11727074 17590611 23454148 29317685 35181222 52771833 58635370 70362444 87953055 105543666 117270740 175906110 211087332 263859165 351812220 527718330 1055436660