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3780756 = 223471667
BaseRepresentation
bin1110011011000010010100
321010002020000
432123002110
51431441011
6213011300
744064420
oct16330224
97102200
103780756
1121525a1
121323b30
13a24b45
14705b80
154ea356
hex39b094

3780756 has 60 divisors (see below), whose sum is σ = 11302368. Its totient is φ = 1079568.

The previous prime is 3780739. The next prime is 3780757. The reversal of 3780756 is 6570873.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3780756.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3780757) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1435 + ... + 3101.

Almost surely, 23780756 is an apocalyptic number.

3780756 is a gapful number since it is divisible by the number (36) 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 3780756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5651184).

3780756 is an abundant number, since it is smaller than the sum of its proper divisors (7521612).

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

3780756 is a wasteful number, since it uses less digits than its factorization.

3780756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 3780756 is about 1944.4166220232. The cubic root of 3780756 is about 155.7852073515.

The spelling of 3780756 in words is "three million, seven hundred eighty thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 1667 2268 3334 5001 6668 10002 11669 15003 20004 23338 30006 35007 45009 46676 60012 70014 90018 105021 135027 140028 180036 210042 270054 315063 420084 540108 630126 945189 1260252 1890378 3780756