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1828109970 = 232523998467
BaseRepresentation
bin110110011110110…
…1011111010010010
311201101220121102200
41230331223322102
512220444004340
6501222424030
763205451451
oct15475537222
94641817380
101828109970
11858a14095
12430292016
1323198299b
14134b12b98
15aa75c330
hex6cf6be92

1828109970 has 48 divisors (see below), whose sum is σ = 4755628800. Its totient is φ = 487235232.

The previous prime is 1828109963. The next prime is 1828109993. The reversal of 1828109970 is 799018281.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 211677 + ... + 220143.

It is an arithmetic number, because the mean of its divisors is an integer number (99075600).

Almost surely, 21828109970 is an apocalyptic number.

1828109970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1828109970 is an abundant number, since it is smaller than the sum of its proper divisors (2927518830).

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

1828109970 is a wasteful number, since it uses less digits than its factorization.

1828109970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10879 (or 10876 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The square root of 1828109970 is about 42756.4026784293. The cubic root of 1828109970 is about 1222.7399606743.

The spelling of 1828109970 in words is "one billion, eight hundred twenty-eight million, one hundred nine thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 2399 4798 7197 8467 11995 14394 16934 21591 23990 25401 35985 42335 43182 50802 71970 76203 84670 107955 127005 152406 215910 254010 381015 762030 20312333 40624666 60936999 101561665 121873998 182810997 203123330 304684995 365621994 609369990 914054985 1828109970