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1074180690 = 234511313889
BaseRepresentation
bin100000000000110…
…1011001001010010
32202212021000220000
41000001223021102
54144442240230
6254331230430
735422246062
oct10001531122
92685230800
101074180690
1150138a940
1225b8a8416
1314171089b
14a293b3a2
1564485b60
hex4006b252

1074180690 has 160 divisors (see below), whose sum is σ = 3253409280. Its totient is φ = 251942400.

The previous prime is 1074180647. The next prime is 1074180691. The reversal of 1074180690 is 960814701.

It is a super-2 number, since 2×10741806902 = 2307728309537752200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1074180691) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 274266 + ... + 278154.

It is an arithmetic number, because the mean of its divisors is an integer number (20333808).

Almost surely, 21074180690 is an apocalyptic number.

1074180690 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 1074180690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1626704640).

1074180690 is an abundant number, since it is smaller than the sum of its proper divisors (2179228590).

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

1074180690 is a wasteful number, since it uses less digits than its factorization.

1074180690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3941 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 1074180690 is about 32774.6958795959. The cubic root of 1074180690 is about 1024.1394927411.

The spelling of 1074180690 in words is "one billion, seventy-four million, one hundred eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 31 33 45 54 55 62 66 81 90 93 99 110 135 155 162 165 186 198 270 279 297 310 330 341 405 465 495 558 594 682 810 837 891 930 990 1023 1395 1485 1674 1705 1782 2046 2511 2790 2970 3069 3410 3889 4185 4455 5022 5115 6138 7778 8370 8910 9207 10230 11667 12555 15345 18414 19445 23334 25110 27621 30690 35001 38890 42779 46035 55242 58335 70002 85558 92070 105003 116670 120559 128337 138105 175005 210006 213895 241118 256674 276210 315009 350010 361677 385011 427790 525015 602795 630018 641685 723354 770022 1050030 1085031 1155033 1205590 1283370 1326149 1575045 1808385 1925055 2170062 2310066 2652298 3150090 3255093 3465099 3616770 3850110 3978447 5425155 5775165 6510186 6630745 6930198 7956894 9765279 10850310 11550330 11935341 13261490 16275465 17325495 19530558 19892235 23870682 32550930 34650990 35806023 39784470 48826395 59676705 71612046 97652790 107418069 119353410 179030115 214836138 358060230 537090345 1074180690