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1130390478 = 23472937929
BaseRepresentation
bin100001101100000…
…0110001111001110
32220210000210020000
41003120012033032
54303334443403
6304100105130
740004106030
oct10330061716
92823023200
101130390478
11530092108
122766951a6
13150261609
14aa1adc50
156938a7a3
hex436063ce

1130390478 has 160 divisors (see below), whose sum is σ = 3078820800. Its totient is φ = 303077376.

The previous prime is 1130390447. The next prime is 1130390489. The reversal of 1130390478 is 8740930311.

It is a happy number.

It is a super-3 number, since 3×11303904783 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1216318 + ... + 1217246.

It is an arithmetic number, because the mean of its divisors is an integer number (19242630).

Almost surely, 21130390478 is an apocalyptic number.

1130390478 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1130390478, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539410400).

1130390478 is an abundant number, since it is smaller than the sum of its proper divisors (1948430322).

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

1130390478 is a wasteful number, since it uses less digits than its factorization.

1130390478 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1016 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1130390478 is about 33621.2801362470. The cubic root of 1130390478 is about 1041.7003981937.

The spelling of 1130390478 in words is "one billion, one hundred thirty million, three hundred ninety thousand, four hundred seventy-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 37 42 54 58 63 74 81 87 111 126 162 174 189 203 222 259 261 333 378 406 518 522 567 609 666 777 783 929 999 1073 1134 1218 1554 1566 1827 1858 1998 2146 2331 2349 2787 2997 3219 3654 4662 4698 5481 5574 5994 6438 6503 6993 7511 8361 9657 10962 13006 13986 15022 16443 16722 19314 19509 20979 22533 25083 26941 28971 32886 34373 39018 41958 45066 50166 53882 57942 58527 67599 68746 75249 80823 86913 103119 117054 135198 150498 161646 173826 175581 188587 202797 206238 240611 242469 309357 351162 377174 405594 481222 484938 526743 565761 608391 618714 721833 727407 928071 996817 1053486 1131522 1216782 1443666 1454814 1697283 1856142 1993634 2165499 2182221 2784213 2990451 3394566 4330998 4364442 5091849 5568426 5980902 6496497 6977719 8971353 10183698 12992994 13955438 15275547 17942706 19489491 20933157 26914059 30551094 38978982 41866314 53828118 62799471 80742177 125598942 161484354 188398413 376796826 565195239 1130390478