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66974112 = 2532232549
BaseRepresentation
bin1111111101111…
…1000110100000
311200000122012200
43333133012200
5114121132422
610351253200
71442161542
oct377370640
9150018180
1066974112
1134894707
121a51a200
1310b4c46a
148c75692
155d2e2ac
hex3fdf1a0

66974112 has 36 divisors (see below), whose sum is σ = 190458450. Its totient is φ = 22324608.

The previous prime is 66974099. The next prime is 66974119. The reversal of 66974112 is 21147966.

It can be written as a sum of positive squares in only one way, i.e., 35569296 + 31404816 = 5964^2 + 5604^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (66974119) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115987 + ... + 116562.

Almost surely, 266974112 is an apocalyptic number.

It is an amenable number.

66974112 is an abundant number, since it is smaller than the sum of its proper divisors (123484338).

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

66974112 is a wasteful number, since it uses less digits than its factorization.

66974112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232565 (or 232554 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 66974112 is about 8183.7712578004. The cubic root of 66974112 is about 406.1024921827.

The spelling of 66974112 in words is "sixty-six million, nine hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 232549 465098 697647 930196 1395294 1860392 2092941 2790588 3720784 4185882 5581176 7441568 8371764 11162352 16743528 22324704 33487056 66974112