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1074080800 = 255213139743
BaseRepresentation
bin100000000000101…
…0010110000100000
32202212001221212101
41000001102300200
54144431041200
6254325140144
735421351622
oct10001226040
92685057771
101074080800
11501321891
1225b85a654
131416a7290
14a2912c12
156446626a
hex40052c20

1074080800 has 144 divisors (see below), whose sum is σ = 2847942720. Its totient is φ = 393200640.

The previous prime is 1074080759. The next prime is 1074080857. The reversal of 1074080800 is 80804701.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1445229 + ... + 1445971.

It is an arithmetic number, because the mean of its divisors is an integer number (19777380).

Almost surely, 21074080800 is an apocalyptic number.

1074080800 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 1074080800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1423971360).

1074080800 is an abundant number, since it is smaller than the sum of its proper divisors (1773861920).

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

1074080800 is a wasteful number, since it uses less digits than its factorization.

1074080800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 1074080800 is about 32773.1719551221. The cubic root of 1074080800 is about 1024.1077462308.

The spelling of 1074080800 in words is "one billion, seventy-four million, eighty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 130 139 160 200 208 260 278 325 400 416 520 556 650 695 743 800 1040 1112 1300 1390 1486 1807 2080 2224 2600 2780 2972 3475 3614 3715 4448 5200 5560 5944 6950 7228 7430 9035 9659 10400 11120 11888 13900 14456 14860 18070 18575 19318 22240 23776 27800 28912 29720 36140 37150 38636 45175 48295 55600 57824 59440 72280 74300 77272 90350 96590 103277 111200 118880 144560 148600 154544 180700 193180 206554 241475 289120 297200 309088 361400 386360 413108 482950 516385 594400 722800 772720 826216 965900 1032770 1342601 1445600 1545440 1652432 1931800 2065540 2581925 2685202 3304864 3863600 4131080 5163850 5370404 6713005 7727200 8262160 10327700 10740808 13426010 16524320 20655400 21481616 26852020 33565025 41310800 42963232 53704040 67130050 82621600 107408080 134260100 214816160 268520200 537040400 1074080800