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3750450660 = 2234511219253
BaseRepresentation
bin1101111110001011…
…0101010111100100
3100200101010122010000
43133202311113210
530140103410120
61420053101300
7161640206325
oct33742652744
910611118100
103750450660
111655039100
12888027830
1347a009198
1427815444c
1516e3ce990
hexdf8b55e4

3750450660 has 540 divisors, whose sum is σ = 13906090044. Its totient is φ = 845095680.

The previous prime is 3750450653. The next prime is 3750450667. The reversal of 3750450660 is 660540573.

It is an interprime number because it is at equal distance from previous prime (3750450653) and next prime (3750450667).

It can be written as a sum of positive squares in 2 ways, for example, as 2037980736 + 1712469924 = 45144^2 + 41382^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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 (3750450667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 70763194 + ... + 70763246.

Almost surely, 23750450660 is an apocalyptic number.

3750450660 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 3750450660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953045022).

3750450660 is an abundant number, since it is smaller than the sum of its proper divisors (10155639384).

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

3750450660 is a wasteful number, since it uses less digits than its factorization.

3750450660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 3750450660 is about 61240.9230825271. The cubic root of 3750450660 is about 1553.6784862796.

The spelling of 3750450660 in words is "three billion, seven hundred fifty million, four hundred fifty thousand, six hundred sixty".