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66439520 = 2557137433
BaseRepresentation
bin1111110101110…
…0100101100000
311122000110212222
43331130211200
5114002031040
610332010212
71434504140
oct375344540
9148013788
1066439520
1134559aa4
121a300968
13109c3034
148b76920
155c75bb5
hex3f5c960

66439520 has 96 divisors (see below), whose sum is σ = 181113408. Its totient is φ = 22560768.

The previous prime is 66439511. The next prime is 66439537. The reversal of 66439520 is 2593466.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

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, 153224 + ... + 153656.

It is an arithmetic number, because the mean of its divisors is an integer number (1886598).

Almost surely, 266439520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66439520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90556704).

66439520 is an abundant number, since it is smaller than the sum of its proper divisors (114673888).

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

66439520 is a wasteful number, since it uses less digits than its factorization.

66439520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 66439520 is about 8151.0441048985. The cubic root of 66439520 is about 405.0190917180.

The spelling of 66439520 in words is "sixty-six million, four hundred thirty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 137 140 160 224 274 280 433 548 560 685 866 959 1096 1120 1370 1732 1918 2165 2192 2740 3031 3464 3836 4330 4384 4795 5480 6062 6928 7672 8660 9590 10960 12124 13856 15155 15344 17320 19180 21920 24248 30310 30688 34640 38360 48496 59321 60620 69280 76720 96992 118642 121240 153440 237284 242480 296605 415247 474568 484960 593210 830494 949136 1186420 1660988 1898272 2076235 2372840 3321976 4152470 4745680 6643952 8304940 9491360 13287904 16609880 33219760 66439520