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66057240 = 23351732381
BaseRepresentation
bin1111101111111…
…1010000011000
311121022001111110
43323333100120
5113402312430
610315500320
71431322464
oct373772030
9147261443
1066057240
1134318867
121a1576a0
13108bb032
148ab74a4
155bec7b0
hex3eff418

66057240 has 64 divisors (see below), whose sum is σ = 209835360. Its totient is φ = 16578560.

The previous prime is 66057221. The next prime is 66057241. The reversal of 66057240 is 4275066.

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 = 66057198 and 66057207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66057241) 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, 14151 + ... + 18230.

Almost surely, 266057240 is an apocalyptic number.

66057240 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66057240 is an abundant number, since it is smaller than the sum of its proper divisors (143778120).

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

66057240 is a wasteful number, since it uses less digits than its factorization.

66057240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32412 (or 32408 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 66057240 is about 8127.5605196147. The cubic root of 66057240 is about 404.2407968795.

The spelling of 66057240 in words is "sixty-six million, fifty-seven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 1020 2040 32381 64762 97143 129524 161905 194286 259048 323810 388572 485715 550477 647620 777144 971430 1100954 1295240 1651431 1942860 2201908 2752385 3302862 3885720 4403816 5504770 6605724 8257155 11009540 13211448 16514310 22019080 33028620 66057240