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3769980 = 2235193307
BaseRepresentation
bin1110011000011001111100
321002112102220
432120121330
51431114410
6212445340
744021124
oct16303174
97075386
103769980
112145495
121319850
13a1cc76
14701c84
154e7070
hex39867c

3769980 has 48 divisors (see below), whose sum is σ = 11114880. Its totient is φ = 952128.

The previous prime is 3769979. The next prime is 3769981. The reversal of 3769980 is 899673.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3769979) and next prime (3769981).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3769981) 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, 514 + ... + 2793.

It is an arithmetic number, because the mean of its divisors is an integer number (231560).

Almost surely, 23769980 is an apocalyptic number.

3769980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3769980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5557440).

3769980 is an abundant number, since it is smaller than the sum of its proper divisors (7344900).

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

3769980 is a wasteful number, since it uses less digits than its factorization.

3769980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3338 (or 3336 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 42.

The square root of 3769980 is about 1941.6436336259. The cubic root of 3769980 is about 155.6370589517.

The spelling of 3769980 in words is "three million, seven hundred sixty-nine thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 3307 6614 9921 13228 16535 19842 33070 39684 49605 62833 66140 99210 125666 188499 198420 251332 314165 376998 628330 753996 942495 1256660 1884990 3769980