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29690232 = 233111341211
BaseRepresentation
bin111000101000…
…0100101111000
32001212102100020
41301100211320
530100041412
62540210440
7510235305
oct161204570
961772306
1029690232
1115839790
129b39a20
1361c6cb0
143d2c0ac
15291718c
hex1c50978

29690232 has 128 divisors (see below), whose sum is σ = 89752320. Its totient is φ = 8064000.

The previous prime is 29690231. The next prime is 29690239. The reversal of 29690232 is 23209692.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 29690193 and 29690202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29690231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 140607 + ... + 140817.

It is an arithmetic number, because the mean of its divisors is an integer number (701190).

Almost surely, 229690232 is an apocalyptic number.

29690232 is a gapful number since it is divisible by the number (22) 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 29690232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44876160).

29690232 is an abundant number, since it is smaller than the sum of its proper divisors (60062088).

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

29690232 is a wasteful number, since it uses less digits than its factorization.

29690232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 29690232 is about 5448.8743791723. The cubic root of 29690232 is about 309.6500803682.

The spelling of 29690232 in words is "twenty-nine million, six hundred ninety thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 41 44 52 66 78 82 88 104 123 132 143 156 164 211 246 264 286 312 328 422 429 451 492 533 572 633 844 858 902 984 1066 1144 1266 1353 1599 1688 1716 1804 2132 2321 2532 2706 2743 3198 3432 3608 4264 4642 5064 5412 5486 5863 6396 6963 8229 8651 9284 10824 10972 11726 12792 13926 16458 17302 17589 18568 21944 23452 25953 27852 30173 32916 34604 35178 46904 51906 55704 60346 65832 69208 70356 90519 95161 103812 112463 120692 140712 181038 190322 207624 224926 241384 285483 337389 362076 380644 449852 570966 674778 724152 761288 899704 1141932 1237093 1349556 2283864 2474186 2699112 3711279 4948372 7422558 9896744 14845116 29690232