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1074113370 = 2325112531861
BaseRepresentation
bin100000000000101…
…1010101101011010
32202212010121112200
41000001122231122
54144433111440
6254325551030
735421545601
oct10001325532
92685117480
101074113370
11501344300
1225b875476
131416b9055
14a2920a38
1564470c30
hex4005ab5a

1074113370 has 144 divisors (see below), whose sum is σ = 3129254856. Its totient is φ = 255340800.

The previous prime is 1074113333. The next prime is 1074113371. The reversal of 1074113370 is 733114701.

It can be written as a sum of positive squares in 4 ways, for example, as 601181361 + 472932009 = 24519^2 + 21747^2 .

It is a super-2 number, since 2×10741133702 = 2307439063225513800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074113371) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 576240 + ... + 578100.

Almost surely, 21074113370 is an apocalyptic number.

1074113370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074113370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1564627428).

1074113370 is an abundant number, since it is smaller than the sum of its proper divisors (2055141486).

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

1074113370 is a wasteful number, since it uses less digits than its factorization.

1074113370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1935 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1074113370 is about 32773.6688516864. The cubic root of 1074113370 is about 1024.1180976718.

The spelling of 1074113370 in words is "one billion, seventy-four million, one hundred thirteen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 121 159 165 198 242 265 318 330 363 477 495 530 583 605 726 795 954 990 1089 1166 1210 1590 1749 1815 1861 2178 2385 2915 3498 3630 3722 4770 5247 5445 5583 5830 6413 8745 9305 10494 10890 11166 12826 16749 17490 18610 19239 20471 26235 27915 32065 33498 38478 40942 52470 55830 57717 61413 64130 83745 96195 98633 102355 115434 122826 167490 184239 192390 197266 204710 225181 288585 295899 307065 368478 450362 493165 577170 591798 614130 675543 887697 921195 986330 1084963 1125905 1351086 1479495 1775394 1842390 2026629 2169926 2251810 2958990 3254889 3377715 4053258 4438485 5424815 6509778 6755430 8876970 9764667 10133145 10849630 11934593 16274445 19529334 20266290 23869186 32548890 35803779 48823335 59672965 71607558 97646670 107411337 119345930 179018895 214822674 358037790 537056685 1074113370