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146696984 = 2373193277
BaseRepresentation
bin10001011111001…
…10101100011000
3101020000222102122
420233212230120
5300023300414
622320120412
73430622000
oct1057465430
9336028378
10146696984
1175896685
1241166108
1324513665
14156a9000
15cd2ab8e
hex8be6b18

146696984 has 64 divisors (see below), whose sum is σ = 323592000. Its totient is φ = 62318592.

The previous prime is 146696983. The next prime is 146696987. The reversal of 146696984 is 489696641.

It is a happy number.

146696984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1466969842 = 43040010229392512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146696981) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529454 + ... + 529730.

It is an arithmetic number, because the mean of its divisors is an integer number (5056125).

Almost surely, 2146696984 is an apocalyptic number.

146696984 is a gapful number since it is divisible by the number (14) 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 146696984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161796000).

146696984 is an abundant number, since it is smaller than the sum of its proper divisors (176895016).

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

146696984 is a wasteful number, since it uses less digits than its factorization.

146696984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 479 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 53.

The square root of 146696984 is about 12111.8530374175. The cubic root of 146696984 is about 527.4003273714.

The spelling of 146696984 in words is "one hundred forty-six million, six hundred ninety-six thousand, nine hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 193 196 277 343 386 392 554 686 772 1108 1351 1372 1544 1939 2216 2702 2744 3878 5404 7756 9457 10808 13573 15512 18914 27146 37828 53461 54292 66199 75656 95011 106922 108584 132398 190022 213844 264796 374227 380044 427688 529592 748454 760088 1496908 2619589 2993816 5239178 10478356 18337123 20956712 36674246 73348492 146696984