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66770040 = 23351394003
BaseRepresentation
bin1111111010110…
…1010001111000
311122122021021110
43332231101320
5114043120130
610343040320
71440351561
oct376552170
9148567243
1066770040
1134765357
121a4400a0
1310aaa5cc
148c21168
155cddab0
hex3fad478

66770040 has 64 divisors (see below), whose sum is σ = 201801600. Its totient is φ = 17672832.

The previous prime is 66770023. The next prime is 66770057. The reversal of 66770040 is 4007766.

It is an interprime number because it is at equal distance from previous prime (66770023) and next prime (66770057).

It is a hoax number, since the sum of its digits (30) 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 (30).

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, 14679 + ... + 18681.

It is an arithmetic number, because the mean of its divisors is an integer number (3153150).

Almost surely, 266770040 is an apocalyptic number.

66770040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

66770040 is the 6672-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100900800).

66770040 is an abundant number, since it is smaller than the sum of its proper divisors (135031560).

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

66770040 is a wasteful number, since it uses less digits than its factorization.

66770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4152 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 66770040 is about 8171.2936552299. The cubic root of 66770040 is about 405.6896039717.

It can be divided in two parts, 667 and 70040, that added together give a palindrome (70707).

The spelling of 66770040 in words is "sixty-six million, seven hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 139 278 417 556 695 834 1112 1390 1668 2085 2780 3336 4003 4170 5560 8006 8340 12009 16012 16680 20015 24018 32024 40030 48036 60045 80060 96072 120090 160120 240180 480360 556417 1112834 1669251 2225668 2782085 3338502 4451336 5564170 6677004 8346255 11128340 13354008 16692510 22256680 33385020 66770040