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10453464 = 2332722963
BaseRepresentation
bin100111111000…
…000111011000
3201200002110100
4213320013120
510134002324
61012015400
7154565400
oct47700730
921602410
1010453464
11599a92a
123601560
1322200a8
141561800
15db74c9
hex9f81d8

10453464 has 72 divisors (see below), whose sum is σ = 32944860. Its totient is φ = 2985696.

The previous prime is 10453463. The next prime is 10453493. The reversal of 10453464 is 46435401.

10453464 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10453463) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2047 + ... + 5009.

Almost surely, 210453464 is an apocalyptic number.

10453464 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 10453464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16472430).

10453464 is an abundant number, since it is smaller than the sum of its proper divisors (22491396).

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

10453464 is a wasteful number, since it uses less digits than its factorization.

10453464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2989 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 10453464 is about 3233.1817146582. The cubic root of 10453464 is about 218.6519774157.

Adding to 10453464 its reverse (46435401), we get a palindrome (56888865).

The spelling of 10453464 in words is "ten million, four hundred fifty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 2963 3528 5926 8889 11852 17778 20741 23704 26667 35556 41482 53334 62223 71112 82964 106668 124446 145187 165928 186669 213336 248892 290374 373338 435561 497784 580748 746676 871122 1161496 1306683 1493352 1742244 2613366 3484488 5226732 10453464