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1840148028 = 22322310920389
BaseRepresentation
bin110110110101110…
…0110111000111100
311202020120012112200
41231223212320330
512232034214103
6502332431500
763413000025
oct15553467074
94666505480
101840148028
118647964a4
12434318590
132343090b4
14136567c4c
15ab8390a3
hex6dae6e3c

1840148028 has 72 divisors (see below), whose sum is σ = 4898493600. Its totient is φ = 581302656.

The previous prime is 1840147993. The next prime is 1840148039. The reversal of 1840148028 is 8208410481.

It is a happy number.

It is a super-2 number, since 2×18401480282 = 6772289529904577568, which contains 22 as substring.

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 = 1840147983 and 1840148001.

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 23 ways as a sum of consecutive naturals, for example, 80058 + ... + 100446.

Almost surely, 21840148028 is an apocalyptic number.

1840148028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1840148028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2449246800).

1840148028 is an abundant number, since it is smaller than the sum of its proper divisors (3058345572).

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

1840148028 is a wasteful number, since it uses less digits than its factorization.

1840148028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20531 (or 20526 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 36.

The square root of 1840148028 is about 42896.9466046244. The cubic root of 1840148028 is about 1225.4179949092.

The spelling of 1840148028 in words is "one billion, eight hundred forty million, one hundred forty-eight thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 109 138 207 218 276 327 414 436 654 828 981 1308 1962 2507 3924 5014 7521 10028 15042 20389 22563 30084 40778 45126 61167 81556 90252 122334 183501 244668 367002 468947 734004 937894 1406841 1875788 2222401 2813682 4220523 4444802 5627364 6667203 8441046 8889604 13334406 16882092 20001609 26668812 40003218 51115223 80006436 102230446 153345669 204460892 306691338 460037007 613382676 920074014 1840148028