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1290470076 = 2233724353107
BaseRepresentation
bin100110011101011…
…0000001010111100
310022221020200011000
41030322300022330
510120330020301
6332015130300
743656546300
oct11472601274
93287220130
101290470076
116024892a5
12300213990
1317747c37c
14c355dd00
157845b786
hex4ceb02bc

1290470076 has 288 divisors, whose sum is σ = 4095463680. Its totient is φ = 350034048.

The previous prime is 1290470059. The next prime is 1290470081. The reversal of 1290470076 is 6700740921.

It is a happy number.

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 1290470076.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12060415 + ... + 12060521.

It is an arithmetic number, because the mean of its divisors is an integer number (14220360).

Almost surely, 21290470076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1290470076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2047731840).

1290470076 is an abundant number, since it is smaller than the sum of its proper divisors (2804993604).

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

1290470076 is a wasteful number, since it uses less digits than its factorization.

1290470076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 1290470076 is about 35923.1133951388. The cubic root of 1290470076 is about 1088.7194444576.

The spelling of 1290470076 in words is "one billion, two hundred ninety million, four hundred seventy thousand, seventy-six".