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37680245 = 5173711981
BaseRepresentation
bin1000111110111…
…1010001110101
32121220100120122
42033233101311
534121231440
63423341325
7635163641
oct217572165
977810518
1037680245
111a2a67a9
1210751845
137a63a05
14500bc21
1534947b5
hex23ef475

37680245 has 16 divisors (see below), whose sum is σ = 49174128. Its totient is φ = 27601920.

The previous prime is 37680241. The next prime is 37680263. The reversal of 37680245 is 54208673.

37680245 = T1190 + T1191 + ... + T1240.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 12208036 + 25472209 = 3494^2 + 5047^2 .

It is not a de Polignac number, because 37680245 - 22 = 37680241 is a prime.

It is a super-3 number, since 3×376802453 (a number of 24 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (37680241) 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, 2846 + ... + 9135.

It is an arithmetic number, because the mean of its divisors is an integer number (3073383).

Almost surely, 237680245 is an apocalyptic number.

It is an amenable number.

37680245 is a deficient number, since it is larger than the sum of its proper divisors (11493883).

37680245 is a wasteful number, since it uses less digits than its factorization.

37680245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12040.

The product of its (nonzero) digits is 40320, while the sum is 35.

The square root of 37680245 is about 6138.4236575851. The cubic root of 37680245 is about 335.2518934179.

The spelling of 37680245 in words is "thirty-seven million, six hundred eighty thousand, two hundred forty-five".

Divisors: 1 5 17 37 85 185 629 3145 11981 59905 203677 443297 1018385 2216485 7536049 37680245