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10427004 = 22327223257
BaseRepresentation
bin100111110001…
…101001111100
3201121202011100
4213301221330
510132131004
61011253100
7154425300
oct47615174
921552140
1010427004
115981a65
1235aa190
132211033
141555d00
15dae739
hex9f1a7c

10427004 has 108 divisors (see below), whose sum is σ = 32117904. Its totient is φ = 2838528.

The previous prime is 10426993. The next prime is 10427017. The reversal of 10427004 is 40072401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40444 + ... + 40700.

It is an arithmetic number, because the mean of its divisors is an integer number (297388).

Almost surely, 210427004 is an apocalyptic number.

10427004 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 10427004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16058952).

10427004 is an abundant number, since it is smaller than the sum of its proper divisors (21690900).

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

10427004 is a wasteful number, since it uses less digits than its factorization.

10427004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 10427004 is about 3229.0871775163. The cubic root of 10427004 is about 218.4673362390.

Adding to 10427004 its reverse (40072401), we get a palindrome (50499405).

The spelling of 10427004 in words is "ten million, four hundred twenty-seven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 49 63 69 84 92 98 126 138 147 161 196 207 252 257 276 294 322 414 441 483 514 588 644 771 828 882 966 1028 1127 1449 1542 1764 1799 1932 2254 2313 2898 3084 3381 3598 4508 4626 5397 5796 5911 6762 7196 9252 10143 10794 11822 12593 13524 16191 17733 20286 21588 23644 25186 32382 35466 37779 40572 41377 50372 53199 64764 70932 75558 82754 106398 113337 124131 151116 165508 212796 226674 248262 289639 372393 453348 496524 579278 744786 868917 1158556 1489572 1737834 2606751 3475668 5213502 10427004