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129194208 = 253211133137
BaseRepresentation
bin1111011001101…
…01100011100000
3100000002202010200
413230311203200
5231033203313
620453025200
73126063333
oct754654340
9300082120
10129194208
1166a21580
1237325200
13209c5aa0
141323061a
15b51eb73
hex7b358e0

129194208 has 144 divisors (see below), whose sum is σ = 431763696. Its totient is φ = 36126720.

The previous prime is 129194189. The next prime is 129194249. The reversal of 129194208 is 802491921.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1291942082 = 33382286761494528, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39616 + ... + 42752.

It is an arithmetic number, because the mean of its divisors is an integer number (2998359).

Almost surely, 2129194208 is an apocalyptic number.

129194208 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 129194208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215881848).

129194208 is an abundant number, since it is smaller than the sum of its proper divisors (302569488).

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

129194208 is a wasteful number, since it uses less digits than its factorization.

129194208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3177 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 129194208 is about 11366.3630066966. The cubic root of 129194208 is about 505.5308706826.

The spelling of 129194208 in words is "one hundred twenty-nine million, one hundred ninety-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 32 33 36 39 44 48 52 66 72 78 88 96 99 104 117 132 143 144 156 176 198 208 234 264 286 288 312 352 396 416 429 468 528 572 624 792 858 936 1056 1144 1248 1287 1584 1716 1872 2288 2574 3137 3168 3432 3744 4576 5148 6274 6864 9411 10296 12548 13728 18822 20592 25096 28233 34507 37644 40781 41184 50192 56466 69014 75288 81562 100384 103521 112932 122343 138028 150576 163124 207042 225864 244686 276056 301152 310563 326248 367029 414084 448591 451728 489372 552112 621126 652496 734058 828168 897182 903456 978744 1104224 1242252 1304992 1345773 1468116 1656336 1794364 1957488 2484504 2691546 2936232 3312672 3588728 3914976 4037319 4969008 5383092 5872464 7177456 8074638 9938016 10766184 11744928 14354912 16149276 21532368 32298552 43064736 64597104 129194208