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3780102060 = 22335721973103
BaseRepresentation
bin1110000101001111…
…1100011110101100
3100202102221002012000
43201103330132230
530220201231220
61423032412300
7162450223500
oct34123743654
910672832160
103780102060
11166a850699
12895b47090
134831bb5a7
1427c072300
15171cda390
hexe14fc7ac

3780102060 has 576 divisors, whose sum is σ = 14739379200. Its totient is φ = 799497216.

The previous prime is 3780102037. The next prime is 3780102061. The reversal of 3780102060 is 602010873.

It is a Harshad number since it is a multiple of its sum of digits (27).

3780102060 is a modest number, since divided by 102060 gives 3780 as remainder.

It is not an unprimeable number, because it can be changed into a prime (3780102061) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36699969 + ... + 36700071.

It is an arithmetic number, because the mean of its divisors is an integer number (25589200).

Almost surely, 23780102060 is an apocalyptic number.

3780102060 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 3780102060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7369689600).

3780102060 is an abundant number, since it is smaller than the sum of its proper divisors (10959277140).

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

3780102060 is a wasteful number, since it uses less digits than its factorization.

3780102060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3780102060 is about 61482.5345931672. The cubic root of 3780102060 is about 1557.7622501632.

The spelling of 3780102060 in words is "three billion, seven hundred eighty million, one hundred two thousand, sixty".