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3673980 = 2232520411
BaseRepresentation
bin1110000000111101111100
320220122202100
432000331330
51420031410
6210425100
743141212
oct16007574
96818670
103673980
11208a352
121292190
139b836b
146b8cb2
154c88c0
hex380f7c

3673980 has 36 divisors (see below), whose sum is σ = 11144952. Its totient is φ = 979680.

The previous prime is 3673979. The next prime is 3673987. The reversal of 3673980 is 893763.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673987) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10026 + ... + 10385.

It is an arithmetic number, because the mean of its divisors is an integer number (309582).

Almost surely, 23673980 is an apocalyptic number.

3673980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3673980 is an abundant number, since it is smaller than the sum of its proper divisors (7470972).

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

3673980 is a wasteful number, since it uses less digits than its factorization.

3673980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20426 (or 20421 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 3673980 is about 1916.7628961350. The cubic root of 3673980 is about 154.3046199643.

The spelling of 3673980 in words is "three million, six hundred seventy-three thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 20411 40822 61233 81644 102055 122466 183699 204110 244932 306165 367398 408220 612330 734796 918495 1224660 1836990 3673980