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1467378990 = 234572113361
BaseRepresentation
bin101011101110110…
…0110110100101110
310210021010120120000
41113131212310232
511001122111430
6401335005130
751235341600
oct12735466456
93707116500
101467378990
1169332a610
1234b5097a6
131a50102bc
14dcc51170
1588c53e60
hex57766d2e

1467378990 has 240 divisors, whose sum is σ = 5008546224. Its totient is φ = 304819200.

The previous prime is 1467378959. The next prime is 1467379051. The reversal of 1467378990 is 998737641.

It is a happy number.

It is a super-2 number, since 2×14673789902 = 4306402200586840200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 434910 + ... + 438270.

Almost surely, 21467378990 is an apocalyptic number.

1467378990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1467378990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504273112).

1467378990 is an abundant number, since it is smaller than the sum of its proper divisors (3541167234).

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

1467378990 is a wasteful number, since it uses less digits than its factorization.

1467378990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3389 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The square root of 1467378990 is about 38306.3831495483. The cubic root of 1467378990 is about 1136.3551874649.

The spelling of 1467378990 in words is "one billion, four hundred sixty-seven million, three hundred seventy-eight thousand, nine hundred ninety".