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3780990 = 232543977
BaseRepresentation
bin1110011011000101111110
321010002112200
432123011332
51431442430
6213012330
744065203
oct16330576
97102480
103780990
112152794
1213240a6
13a24c95
14705caa
154ea460
hex39b17e

3780990 has 48 divisors (see below), whose sum is σ = 10069488. Its totient is φ = 983808.

The previous prime is 3780989. The next prime is 3781007. The reversal of 3780990 is 990873.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3382 + ... + 4358.

It is an arithmetic number, because the mean of its divisors is an integer number (209781).

Almost surely, 23780990 is an apocalyptic number.

3780990 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3780990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5034744).

3780990 is an abundant number, since it is smaller than the sum of its proper divisors (6288498).

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

3780990 is a wasteful number, since it uses less digits than its factorization.

3780990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3780990 is about 1944.4767933817. The cubic root of 3780990 is about 155.7884212578.

The spelling of 3780990 in words is "three million, seven hundred eighty thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 977 1290 1935 1954 2931 3870 4885 5862 8793 9770 14655 17586 29310 42011 43965 84022 87930 126033 210055 252066 378099 420110 630165 756198 1260330 1890495 3780990