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146096874 = 232711234583
BaseRepresentation
bin10001011010101…
…00001011101010
3101011220111020100
420231110023222
5244400044444
622255210230
73422542260
oct1055241352
9334814210
10146096874
1175516820
1240b16976
1324363471
1415590430
15cc5ce69
hex8b542ea

146096874 has 96 divisors (see below), whose sum is σ = 411899904. Its totient is φ = 36289440.

The previous prime is 146096869. The next prime is 146096911. The reversal of 146096874 is 478690641.

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 47 ways as a sum of consecutive naturals, for example, 29587 + ... + 34169.

It is an arithmetic number, because the mean of its divisors is an integer number (4290624).

Almost surely, 2146096874 is an apocalyptic number.

146096874 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146096874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205949952).

146096874 is an abundant number, since it is smaller than the sum of its proper divisors (265803030).

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

146096874 is a wasteful number, since it uses less digits than its factorization.

146096874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4632 (or 4629 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 146096874 is about 12087.0539834982. The cubic root of 146096874 is about 526.6801790227.

The spelling of 146096874 in words is "one hundred forty-six million, ninety-six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 23 33 42 46 63 66 69 77 99 126 138 154 161 198 207 231 253 322 414 462 483 506 693 759 966 1386 1449 1518 1771 2277 2898 3542 4554 4583 5313 9166 10626 13749 15939 27498 31878 32081 41247 50413 64162 82494 96243 100826 105409 151239 192486 210818 288729 302478 316227 352891 453717 577458 632454 705782 737863 907434 948681 1058673 1159499 1475726 1897362 2117346 2213589 2318998 3176019 3478497 4427178 6352038 6640767 6956994 8116493 10435491 13281534 16232986 20870982 24349479 48698958 73048437 146096874