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64973040 = 24351124611
BaseRepresentation
bin1111011111011…
…0100011110000
311112020222020220
43313312203300
5113113114130
610240333040
71416155526
oct367664360
9145228226
1064973040
1133748230
1219914180
13105cb6b2
1488b4316
155a86410
hex3df68f0

64973040 has 80 divisors (see below), whose sum is σ = 219735936. Its totient is φ = 15750400.

The previous prime is 64973033. The next prime is 64973053. The reversal of 64973040 is 4037946.

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

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 64972992 and 64973010.

It is a congruent number.

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, 9666 + ... + 14945.

Almost surely, 264973040 is an apocalyptic number.

64973040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

64973040 is an abundant number, since it is smaller than the sum of its proper divisors (154762896).

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

64973040 is a wasteful number, since it uses less digits than its factorization.

64973040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24638 (or 24632 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 64973040 is about 8060.5855866680. The cubic root of 64973040 is about 402.0169790606.

The spelling of 64973040 in words is "sixty-four million, nine hundred seventy-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 24611 49222 73833 98444 123055 147666 196888 246110 270721 295332 369165 393776 492220 541442 590664 738330 812163 984440 1082884 1181328 1353605 1476660 1624326 1968880 2165768 2707210 2953320 3248652 4060815 4331536 5414420 5906640 6497304 8121630 10828840 12994608 16243260 21657680 32486520 64973040