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470013040 = 24576712527
BaseRepresentation
bin11100000000111…
…101010001110000
31012202102010200101
4130000331101300
51430310404130
6114350002144
714435021260
oct3400752160
91182363611
10470013040
11221345832
121114a6354
13764b6033
14465cb7a0
152b3e31ca
hex1c03d470

470013040 has 80 divisors (see below), whose sum is σ = 1267633152. Its totient is φ = 158729472.

The previous prime is 470013029. The next prime is 470013043. The reversal of 470013040 is 40310074.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 470012999 and 470013017.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (470013043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31257 + ... + 43783.

Almost surely, 2470013040 is an apocalyptic number.

470013040 is a gapful number since it is divisible by the number (40) 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 470013040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633816576).

470013040 is an abundant number, since it is smaller than the sum of its proper divisors (797620112).

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

470013040 is a wasteful number, since it uses less digits than its factorization.

470013040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12614 (or 12608 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 470013040 is about 21679.7841317666. The cubic root of 470013040 is about 777.5052001458.

The spelling of 470013040 in words is "four hundred seventy million, thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 268 280 335 469 536 560 670 938 1072 1340 1876 2345 2680 3752 4690 5360 7504 9380 12527 18760 25054 37520 50108 62635 87689 100216 125270 175378 200432 250540 350756 438445 501080 701512 839309 876890 1002160 1403024 1678618 1753780 3357236 3507560 4196545 5875163 6714472 7015120 8393090 11750326 13428944 16786180 23500652 29375815 33572360 47001304 58751630 67144720 94002608 117503260 235006520 470013040