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66031240 = 235113147103
BaseRepresentation
bin1111101111100…
…0111010001000
311121020201211111
43323320322020
5113400444430
610315140104
71431153622
oct373707210
9147221744
1066031240
1134300280
121a144634
13108ac252
148aabc12
155be4c2a
hex3ef8e88

66031240 has 128 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 22521600.

The previous prime is 66031223. The next prime is 66031241. The reversal of 66031240 is 4213066.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (66031241) 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, 641029 + ... + 641131.

It is an arithmetic number, because the mean of its divisors is an integer number (1347840).

Almost surely, 266031240 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 66031240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86261760).

66031240 is an abundant number, since it is smaller than the sum of its proper divisors (106492280).

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

66031240 is a wasteful number, since it uses less digits than its factorization.

66031240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 66031240 is about 8125.9608662607. The cubic root of 66031240 is about 404.1877537917.

The spelling of 66031240 in words is "sixty-six million, thirty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 47 55 62 88 94 103 110 124 155 188 206 220 235 248 310 341 376 412 440 470 515 517 620 682 824 940 1030 1034 1133 1240 1364 1457 1705 1880 2060 2068 2266 2585 2728 2914 3193 3410 4120 4136 4532 4841 5170 5665 5828 6386 6820 7285 9064 9682 10340 11330 11656 12772 13640 14570 15965 16027 19364 20680 22660 24205 25544 29140 31930 32054 35123 38728 45320 48410 53251 58280 63860 64108 70246 80135 96820 106502 127720 128216 140492 150071 160270 175615 193640 213004 266255 280984 300142 320540 351230 426008 532510 600284 641080 702460 750355 1065020 1200568 1404920 1500710 1650781 2130040 3001420 3301562 6002840 6603124 8253905 13206248 16507810 33015620 66031240