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1058271216 = 2431723113499
BaseRepresentation
bin111111000100111…
…110111111110000
32201202022202012020
4333010332333300
54131404134331
6253002231440
735140104552
oct7704767760
92652282166
101058271216
114a3403912
122564b5580
1313b3302b2
14a07994d2
1562d91c96
hex3f13eff0

1058271216 has 160 divisors (see below), whose sum is σ = 3053376000. Its totient is φ = 314130432.

The previous prime is 1058271209. The next prime is 1058271251. The reversal of 1058271216 is 6121728501.

It is a super-2 number, since 2×10582712162 = 2239875933228237312, 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, 2120535 + ... + 2121033.

It is an arithmetic number, because the mean of its divisors is an integer number (19083600).

Almost surely, 21058271216 is an apocalyptic number.

1058271216 is a gapful number since it is divisible by the number (16) 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 1058271216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1526688000).

1058271216 is an abundant number, since it is smaller than the sum of its proper divisors (1995104784).

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

1058271216 is a wasteful number, since it uses less digits than its factorization.

1058271216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The square root of 1058271216 is about 32531.0807690123. The cubic root of 1058271216 is about 1019.0582156686.

Adding to 1058271216 its reverse (6121728501), we get a palindrome (7179999717).

The spelling of 1058271216 in words is "one billion, fifty-eight million, two hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 23 24 34 46 48 51 68 69 92 102 113 136 138 184 204 226 272 276 339 368 391 408 452 499 552 678 782 816 904 998 1104 1173 1356 1497 1564 1808 1921 1996 2346 2599 2712 2994 3128 3842 3992 4692 5198 5424 5763 5988 6256 7684 7797 7984 8483 9384 10396 11477 11526 11976 15368 15594 16966 18768 20792 22954 23052 23952 25449 30736 31188 33932 34431 41584 44183 45908 46104 50898 56387 62376 67864 68862 88366 91816 92208 101796 112774 124752 132549 135728 137724 169161 176732 183632 195109 203592 225548 265098 275448 338322 353464 390218 407184 451096 530196 550896 585327 676644 706928 780436 902192 958579 1060392 1170654 1296901 1353288 1560872 1917158 2120784 2341308 2593802 2706576 2875737 3121744 3834316 3890703 4682616 5187604 5751474 7668632 7781406 9365232 10375208 11502948 15337264 15562812 20750416 22047317 23005896 31125624 44094634 46011792 62251248 66141951 88189268 132283902 176378536 264567804 352757072 529135608 1058271216