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66572240 = 2457532243
BaseRepresentation
bin1111110111110…
…0111111010000
311122021012221112
43331330333100
5114020302430
610334512452
71435566110
oct375747720
9148235845
1066572240
113463a789
121a365728
1310a3b577
148bad040
155ca0195
hex3f7cfd0

66572240 has 80 divisors (see below), whose sum is σ = 180309888. Its totient is φ = 22384128.

The previous prime is 66572203. The next prime is 66572249. The reversal of 66572240 is 4227566.

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

It is a junction number, because it is equal to n+sod(n) for n = 66572197 and 66572206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66572249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28559 + ... + 30801.

Almost surely, 266572240 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 66572240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90154944).

66572240 is an abundant number, since it is smaller than the sum of its proper divisors (113737648).

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

66572240 is a wasteful number, since it uses less digits than its factorization.

66572240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2316 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 32.

The square root of 66572240 is about 8159.1813314817. The cubic root of 66572240 is about 405.2886018947.

The spelling of 66572240 in words is "sixty-six million, five hundred seventy-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2243 2968 3710 4240 4486 5936 7420 8972 11215 14840 15701 17944 22430 29680 31402 35888 44860 62804 78505 89720 118879 125608 157010 179440 237758 251216 314020 475516 594395 628040 832153 951032 1188790 1256080 1664306 1902064 2377580 3328612 4160765 4755160 6657224 8321530 9510320 13314448 16643060 33286120 66572240