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146940696 = 23337157619
BaseRepresentation
bin10001100001000…
…10001100011000
3101020111100202000
420300202030120
5300104100241
622325241000
73432655350
oct1060421430
9336440660
10146940696
1175a427a1
1241263160
132459a576
141572db60
15cd77eb6
hex8c22318

146940696 has 128 divisors (see below), whose sum is σ = 470208000. Its totient is φ = 41648256.

The previous prime is 146940683. The next prime is 146940719. The reversal of 146940696 is 696049641.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237075 + ... + 237693.

It is an arithmetic number, because the mean of its divisors is an integer number (3673500).

Almost surely, 2146940696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146940696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235104000).

146940696 is an abundant number, since it is smaller than the sum of its proper divisors (323267304).

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

146940696 is a wasteful number, since it uses less digits than its factorization.

146940696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 146940696 is about 12121.9097505302. The cubic root of 146940696 is about 527.6922276585.

The spelling of 146940696 in words is "one hundred forty-six million, nine hundred forty thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 157 168 189 216 252 314 378 471 504 619 628 756 942 1099 1238 1256 1413 1512 1857 1884 2198 2476 2826 3297 3714 3768 4239 4333 4396 4952 5571 5652 6594 7428 8478 8666 8792 9891 11142 11304 12999 13188 14856 16713 16956 17332 19782 22284 25998 26376 29673 33426 33912 34664 38997 39564 44568 51996 59346 66852 77994 79128 97183 103992 116991 118692 133704 155988 194366 233982 237384 291549 311976 388732 467964 583098 680281 777464 874647 935928 1166196 1360562 1749294 2040843 2332392 2623941 2721124 3498588 4081686 5247882 5442248 6122529 6997176 8163372 10495764 12245058 16326744 18367587 20991528 24490116 36735174 48980232 73470348 146940696