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1290470328 = 233272560457
BaseRepresentation
bin100110011101011…
…0000001110111000
310022221020200111100
41030322300032320
510120330022303
6332015131400
743656550110
oct11472601670
93287220440
101290470328
11602489504
12300213b60
1317747c514
14c3560040
157845b8a3
hex4ceb03b8

1290470328 has 48 divisors (see below), whose sum is σ = 3994314480. Its totient is φ = 368705664.

The previous prime is 1290470287. The next prime is 1290470339. The reversal of 1290470328 is 8230740921.

1290470328 is a `hidden beast` number, since 1 + 290 + 47 + 0 + 328 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1290470292 and 1290470301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1279725 + ... + 1280732.

It is an arithmetic number, because the mean of its divisors is an integer number (83214885).

Almost surely, 21290470328 is an apocalyptic number.

1290470328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1290470328 is an abundant number, since it is smaller than the sum of its proper divisors (2703844152).

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

1290470328 is a wasteful number, since it uses less digits than its factorization.

1290470328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560476 (or 2560469 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1290470328 is about 35923.1169026297. The cubic root of 1290470328 is about 1088.7195153252.

The spelling of 1290470328 in words is "one billion, two hundred ninety million, four hundred seventy thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2560457 5120914 7681371 10241828 15362742 17923199 20483656 23044113 30725484 35846398 46088226 53769597 61450968 71692796 92176452 107539194 143385592 161308791 184352904 215078388 322617582 430156776 645235164 1290470328