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1415128890 = 235761310993
BaseRepresentation
bin101010001011001…
…0010011100111010
310122121210222220010
41110112102130322
510344233111030
6352231042350
750032253130
oct12426223472
93577728803
101415128890
1166689230a
12335b103b6
13197247996
14d5d2d750
15843826b0
hex5459273a

1415128890 has 64 divisors (see below), whose sum is σ = 3888182016. Its totient is φ = 322900992.

The previous prime is 1415128867. The next prime is 1415128901. The reversal of 1415128890 is 988215141.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 123234 + ... + 134226.

It is an arithmetic number, because the mean of its divisors is an integer number (60752844).

Almost surely, 21415128890 is an apocalyptic number.

1415128890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1415128890 is an abundant number, since it is smaller than the sum of its proper divisors (2473053126).

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

1415128890 is a wasteful number, since it uses less digits than its factorization.

1415128890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11623.

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 1415128890 is about 37618.1989202035. The cubic root of 1415128890 is about 1122.7041614219.

It can be divided in two parts, 1415 and 128890, that added together give a triangular number (130305 = T510).

The spelling of 1415128890 in words is "one billion, four hundred fifteen million, one hundred twenty-eight thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 613 1226 1839 3065 3678 4291 6130 8582 9195 10993 12873 18390 21455 21986 25746 32979 42910 54965 64365 65958 76951 109930 128730 153902 164895 230853 329790 384755 461706 769510 1154265 2308530 6738709 13477418 20216127 33693545 40432254 47170963 67387090 94341926 101080635 141512889 202161270 235854815 283025778 471709630 707564445 1415128890