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1292313906 = 233132716793
BaseRepresentation
bin100110100000111…
…0010010100110010
310100001201100102000
41031001302110302
510121313021111
6332122434430
744011326012
oct11501622462
93301640360
101292313906
11603528624
12300962a16
131779766b0
14c38bdc42
15786c2c56
hex4d072532

1292313906 has 64 divisors (see below), whose sum is σ = 3104586240. Its totient is φ = 396109440.

The previous prime is 1292313877. The next prime is 1292313917. The reversal of 1292313906 is 6093132921.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186846 + ... + 193638.

It is an arithmetic number, because the mean of its divisors is an integer number (48509160).

Almost surely, 21292313906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1292313906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552293120).

1292313906 is an abundant number, since it is smaller than the sum of its proper divisors (1812272334).

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

1292313906 is a wasteful number, since it uses less digits than its factorization.

1292313906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1292313906 is about 35948.7677952945. The cubic root of 1292313906 is about 1089.2377202656.

The spelling of 1292313906 in words is "one billion, two hundred ninety-two million, three hundred thirteen thousand, nine hundred six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 271 351 542 702 813 1626 2439 3523 4878 6793 7046 7317 10569 13586 14634 20379 21138 31707 40758 61137 63414 88309 95121 122274 176618 183411 190242 264927 366822 529854 794781 1589562 1840903 2384343 3681806 4768686 5522709 11045418 16568127 23931739 33136254 47863478 49704381 71795217 99408762 143590434 215385651 430771302 646156953 1292313906