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10066440 = 2335149563
BaseRepresentation
bin100110011001…
…101000001000
3200221102120010
4212121220020
510034111230
6555431520
7151364136
oct46315010
920842503
1010066440
11575607a
1234555a0
132115b97
1414a0756
15d3c9b0
hex999a08

10066440 has 64 divisors (see below), whose sum is σ = 30456000. Its totient is φ = 2661632.

The previous prime is 10066439. The next prime is 10066471. The reversal of 10066440 is 4466001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17599 + ... + 18161.

It is an arithmetic number, because the mean of its divisors is an integer number (475875).

Almost surely, 210066440 is an apocalyptic number.

10066440 is a gapful number since it is divisible by the number (10) 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 10066440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15228000).

10066440 is an abundant number, since it is smaller than the sum of its proper divisors (20389560).

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

10066440 is a wasteful number, since it uses less digits than its factorization.

10066440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 10066440 is about 3172.7653553328. The cubic root of 10066440 is about 215.9195516597.

The spelling of 10066440 in words is "ten million, sixty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 149 298 447 563 596 745 894 1126 1192 1490 1689 1788 2235 2252 2815 2980 3378 3576 4470 4504 5630 5960 6756 8445 8940 11260 13512 16890 17880 22520 33780 67560 83887 167774 251661 335548 419435 503322 671096 838870 1006644 1258305 1677740 2013288 2516610 3355480 5033220 10066440