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64473240 = 233513371117
BaseRepresentation
bin1111010111110…
…0100010011000
311111022120122210
43311330202120
5113001120430
610221515120
71412004426
oct365744230
9144276583
1064473240
1133436777
1219712aa0
1310485060
1487c4116
1559d82b0
hex3d7c898

64473240 has 128 divisors (see below), whose sum is σ = 214119360. Its totient is φ = 15427584.

The previous prime is 64473239. The next prime is 64473247. The reversal of 64473240 is 4237446.

64473240 = 4502 + 4512 + ... + 6572.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 64473198 and 64473207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64473247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57162 + ... + 58278.

Almost surely, 264473240 is an apocalyptic number.

64473240 is a gapful number since it is divisible by the number (60) 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 64473240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107059680).

64473240 is an abundant number, since it is smaller than the sum of its proper divisors (149646120).

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

64473240 is a wasteful number, since it uses less digits than its factorization.

64473240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 64473240 is about 8029.5230244392. The cubic root of 64473240 is about 400.9834965213.

The spelling of 64473240 in words is "sixty-four million, four hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 37 39 40 52 60 65 74 78 104 111 120 130 148 156 185 195 222 260 296 312 370 390 444 481 520 555 740 780 888 962 1110 1117 1443 1480 1560 1924 2220 2234 2405 2886 3351 3848 4440 4468 4810 5585 5772 6702 7215 8936 9620 11170 11544 13404 14430 14521 16755 19240 22340 26808 28860 29042 33510 41329 43563 44680 57720 58084 67020 72605 82658 87126 116168 123987 134040 145210 165316 174252 206645 217815 247974 290420 330632 348504 413290 435630 495948 537277 580840 619935 826580 871260 991896 1074554 1239870 1611831 1653160 1742520 2149108 2479740 2686385 3223662 4298216 4959480 5372770 6447324 8059155 10745540 12894648 16118310 21491080 32236620 64473240