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29390112 = 25321941131
BaseRepresentation
bin111000000011…
…1010100100000
32001022011122200
41300013110200
530010440422
62525533200
7504545313
oct160072440
961264580
1029390112
1115654254
129a14200
1361204cb
143c9097a
1528a82ac
hex1c07520

29390112 has 144 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 8985600.

The previous prime is 29390063. The next prime is 29390167. The reversal of 29390112 is 21109392.

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

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, 224287 + ... + 224417.

It is an arithmetic number, because the mean of its divisors is an integer number (630630).

Almost surely, 229390112 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 29390112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

29390112 is an abundant number, since it is smaller than the sum of its proper divisors (61420608).

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

29390112 is a wasteful number, since it uses less digits than its factorization.

29390112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 29390112 is about 5421.2647970746. The cubic root of 29390112 is about 308.6031919096.

The spelling of 29390112 in words is "twenty-nine million, three hundred ninety thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 131 144 152 164 171 228 246 262 288 304 328 342 369 393 456 492 524 608 656 684 738 779 786 912 984 1048 1179 1312 1368 1476 1558 1572 1824 1968 2096 2337 2358 2489 2736 2952 3116 3144 3936 4192 4674 4716 4978 5371 5472 5904 6232 6288 7011 7467 9348 9432 9956 10742 11808 12464 12576 14022 14934 16113 18696 18864 19912 21484 22401 24928 28044 29868 32226 37392 37728 39824 42968 44802 48339 56088 59736 64452 74784 79648 85936 89604 96678 102049 112176 119472 128904 171872 179208 193356 204098 224352 238944 257808 306147 358416 386712 408196 515616 612294 716832 773424 816392 918441 1224588 1546848 1632784 1836882 2449176 3265568 3673764 4898352 7347528 9796704 14695056 29390112