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29699136 = 263417337
BaseRepresentation
bin111000101001…
…0110001000000
32001212212120000
41301102301000
530100333021
62540320000
7510303255
oct161226100
961785500
1029699136
1115845445
129b43000
1361cb06c
143d3142c
152919b26
hex1c52c40

29699136 has 140 divisors (see below), whose sum is σ = 93492828. Its totient is φ = 9289728.

The previous prime is 29699107. The next prime is 29699149. The reversal of 29699136 is 63199692.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 14017536 = 3960^2 + 3744^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29699091 and 29699100.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 87960 + ... + 88296.

Almost surely, 229699136 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 29699136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46746414).

29699136 is an abundant number, since it is smaller than the sum of its proper divisors (63793692).

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

29699136 is a wasteful number, since it uses less digits than its factorization.

29699136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 359 counting only the distinct ones).

The product of its digits is 157464, while the sum is 45.

The square root of 29699136 is about 5449.6913674079. The cubic root of 29699136 is about 309.6810316111.

The spelling of 29699136 in words is "twenty-nine million, six hundred ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 81 96 102 108 136 144 153 162 192 204 216 272 288 306 324 337 408 432 459 544 576 612 648 674 816 864 918 1011 1088 1224 1296 1348 1377 1632 1728 1836 2022 2448 2592 2696 2754 3033 3264 3672 4044 4896 5184 5392 5508 5729 6066 7344 8088 9099 9792 10784 11016 11458 12132 14688 16176 17187 18198 21568 22032 22916 24264 27297 29376 32352 34374 36396 44064 45832 48528 51561 54594 64704 68748 72792 88128 91664 97056 103122 109188 137496 145584 154683 183328 194112 206244 218376 274992 291168 309366 366656 412488 436752 464049 549984 582336 618732 824976 873504 928098 1099968 1237464 1649952 1747008 1856196 2474928 3299904 3712392 4949856 7424784 9899712 14849568 29699136