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133434252 = 223272671129
BaseRepresentation
bin1111111010000…
…00101110001100
3100022002011101100
413331000232030
5233124344002
621123543100
73210113100
oct775005614
9308064340
10133434252
1169358146
123882aa90
132184b9a3
1413a15900
15baab11c
hex7f40b8c

133434252 has 108 divisors (see below), whose sum is σ = 398569080. Its totient is φ = 37521792.

The previous prime is 133434221. The next prime is 133434263. The reversal of 133434252 is 252434331.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 117624 + ... + 118752.

Almost surely, 2133434252 is an apocalyptic number.

133434252 is a gapful number since it is divisible by the number (12) 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 133434252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199284540).

133434252 is an abundant number, since it is smaller than the sum of its proper divisors (265134828).

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

133434252 is a wasteful number, since it uses less digits than its factorization.

133434252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1208 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 133434252 is about 11551.3744636731. The cubic root of 133434252 is about 511.0018139674.

Adding to 133434252 its reverse (252434331), we get a palindrome (385868583).

The spelling of 133434252 in words is "one hundred thirty-three million, four hundred thirty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 67 84 98 126 134 147 196 201 252 268 294 402 441 469 588 603 804 882 938 1129 1206 1407 1764 1876 2258 2412 2814 3283 3387 4221 4516 5628 6566 6774 7903 8442 9849 10161 13132 13548 15806 16884 19698 20322 23709 29547 31612 39396 40644 47418 55321 59094 71127 75643 94836 110642 118188 142254 151286 165963 221284 226929 284508 302572 331926 453858 497889 529501 663852 680787 907716 995778 1059002 1361574 1588503 1991556 2118004 2723148 3177006 3706507 4765509 6354012 7413014 9531018 11119521 14826028 19062036 22239042 33358563 44478084 66717126 133434252