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66455040 = 293517509
BaseRepresentation
bin1111110110000…
…0011000000000
311122001021011210
43331200120000
5114003030130
610332210120
71434600321
oct375403000
9148037153
1066455040
113456a723
121a309940
13109ca112
148b7c448
155c7a5b0
hex3f60600

66455040 has 160 divisors (see below), whose sum is σ = 225387360. Its totient is φ = 16646144.

The previous prime is 66455033. The next prime is 66455069. The reversal of 66455040 is 4055466.

It is a tau number, because it is divible by the number of its divisors (160).

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 = 66454989 and 66455007.

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, 130306 + ... + 130814.

It is an arithmetic number, because the mean of its divisors is an integer number (1408671).

Almost surely, 266455040 is an apocalyptic number.

66455040 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 66455040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112693680).

66455040 is an abundant number, since it is smaller than the sum of its proper divisors (158932320).

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

66455040 is a wasteful number, since it uses less digits than its factorization.

66455040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 66455040 is about 8151.9960745820. The cubic root of 66455040 is about 405.0506261968.

The spelling of 66455040 in words is "sixty-six million, four hundred fifty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 128 136 160 170 192 204 240 255 256 272 320 340 384 408 480 509 510 512 544 640 680 768 816 960 1018 1020 1088 1280 1360 1527 1536 1632 1920 2036 2040 2176 2545 2560 2720 3054 3264 3840 4072 4080 4352 5090 5440 6108 6528 7635 7680 8144 8160 8653 8704 10180 10880 12216 13056 15270 16288 16320 17306 20360 21760 24432 25959 26112 30540 32576 32640 34612 40720 43265 43520 48864 51918 61080 65152 65280 69224 81440 86530 97728 103836 122160 129795 130304 130560 138448 162880 173060 195456 207672 244320 259590 260608 276896 325760 346120 390912 415344 488640 519180 553792 651520 692240 781824 830688 977280 1038360 1107584 1303040 1384480 1661376 1954560 2076720 2215168 2768960 3322752 3909120 4153440 4430336 5537920 6645504 8306880 11075840 13291008 16613760 22151680 33227520 66455040