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1058043480 = 2335134431531
BaseRepresentation
bin111111000100000…
…111011001011000
32201201220011210120
4333010013121120
54131324342410
6252553313240
735135135604
oct7704073130
92651804716
101058043480
114a32687aa
12256405820
1313b280740
14a073a504
1562d49570
hex3f107658

1058043480 has 128 divisors (see below), whose sum is σ = 3428248320. Its totient is φ = 259683840.

The previous prime is 1058043473. The next prime is 1058043523. The reversal of 1058043480 is 843408501.

1058043480 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 2×10580434802 = 2238912011141020800, 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 31 ways as a sum of consecutive naturals, for example, 690315 + ... + 691845.

It is an arithmetic number, because the mean of its divisors is an integer number (26783190).

Almost surely, 21058043480 is an apocalyptic number.

1058043480 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 1058043480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714124160).

1058043480 is an abundant number, since it is smaller than the sum of its proper divisors (2370204840).

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

1058043480 is a wasteful number, since it uses less digits than its factorization.

1058043480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2001 (or 1997 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 1058043480 is about 32527.5802973415. The cubic root of 1058043480 is about 1018.9851112546.

The spelling of 1058043480 in words is "one billion, fifty-eight million, forty-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 443 520 780 886 1329 1531 1560 1772 2215 2658 3062 3544 4430 4593 5316 5759 6124 6645 7655 8860 9186 10632 11518 12248 13290 15310 17277 17720 18372 19903 22965 23036 26580 28795 30620 34554 36744 39806 45930 46072 53160 57590 59709 61240 69108 79612 86385 91860 99515 115180 119418 138216 159224 172770 183720 199030 230360 238836 298545 345540 398060 477672 597090 678233 691080 796120 1194180 1356466 2034699 2388360 2712932 3391165 4069398 5425864 6782330 8138796 8817029 10173495 13564660 16277592 17634058 20346990 26451087 27129320 35268116 40693980 44085145 52902174 70536232 81387960 88170290 105804348 132255435 176340580 211608696 264510870 352681160 529021740 1058043480