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10464930 = 233573113
BaseRepresentation
bin100111111010…
…111010100010
3201200200012000
4213322322202
510134334210
61012144430
7154644000
oct47727242
921620160
1010464930
1159a8503
123608116
132225388
141565a70
15dbaac0
hex9faea2

10464930 has 128 divisors (see below), whose sum is σ = 32832000. Its totient is φ = 2370816.

The previous prime is 10464929. The next prime is 10464941. The reversal of 10464930 is 3946401.

10464930 is a `hidden beast` number, since 10 + 4 + 649 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10464894 and 10464903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92554 + ... + 92666.

It is an arithmetic number, because the mean of its divisors is an integer number (256500).

Almost surely, 210464930 is an apocalyptic number.

10464930 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 10464930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16416000).

10464930 is an abundant number, since it is smaller than the sum of its proper divisors (22367070).

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

10464930 is a wasteful number, since it uses less digits than its factorization.

10464930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 10464930 is about 3234.9544046246. The cubic root of 10464930 is about 218.7318918344.

The spelling of 10464930 in words is "ten million, four hundred sixty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 49 54 63 70 90 98 105 113 126 135 147 189 210 226 245 270 294 315 339 343 378 441 490 565 630 678 686 735 791 882 945 1017 1029 1130 1323 1470 1582 1695 1715 1890 2034 2058 2205 2373 2646 3051 3087 3390 3430 3955 4410 4746 5085 5145 5537 6102 6174 6615 7119 7910 9261 10170 10290 11074 11865 13230 14238 15255 15435 16611 18522 21357 23730 27685 30510 30870 33222 35595 38759 42714 46305 49833 55370 71190 77518 83055 92610 99666 106785 116277 149499 166110 193795 213570 232554 249165 298998 348831 387590 498330 581385 697662 747495 1046493 1162770 1494990 1744155 2092986 3488310 5232465 10464930