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1106291004 = 2237138911383
BaseRepresentation
bin100000111110000…
…1010100100111100
32212002200101221220
41001330022210330
54231202303004
6301435353340
736262214130
oct10174124474
92762611856
101106291004
11518521895
1226a5b2850
13148274280
14a6cd93c0
15671c9dd9
hex41f0a93c

1106291004 has 96 divisors (see below), whose sum is σ = 3213020160. Its totient is φ = 288465408.

The previous prime is 1106290921. The next prime is 1106291041. The reversal of 1106291004 is 4001926011.

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, 91497 + ... + 102879.

It is an arithmetic number, because the mean of its divisors is an integer number (33468960).

Almost surely, 21106291004 is an apocalyptic number.

1106291004 is a gapful number since it is divisible by the number (14) 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 1106291004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606510080).

1106291004 is an abundant number, since it is smaller than the sum of its proper divisors (2106729156).

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

1106291004 is a wasteful number, since it uses less digits than its factorization.

1106291004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 1106291004 is about 33260.9531432880. The cubic root of 1106291004 is about 1034.2442783165.

The spelling of 1106291004 in words is "one billion, one hundred six million, two hundred ninety-one thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 89 91 156 178 182 267 273 356 364 534 546 623 1068 1092 1157 1246 1869 2314 2492 3471 3738 4628 6942 7476 8099 11383 13884 16198 22766 24297 32396 34149 45532 48594 68298 79681 97188 136596 147979 159362 239043 295958 318724 443937 478086 591916 887874 956172 1013087 1035853 1775748 2026174 2071706 3039261 3107559 4052348 4143412 6078522 6215118 7091609 12157044 12430236 13170131 14183218 21274827 26340262 28366436 39510393 42549654 52680524 79020786 85099308 92190917 158041572 184381834 276572751 368763668 553145502 1106291004