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29077380 = 2235531193
BaseRepresentation
bin110111011101…
…0111110000100
32000201021200000
41232322332010
524420434010
62515121300
7502103463
oct156727604
960637600
1029077380
11154602a2
1298a3230
136041067
143c0c9da
1528457c0
hex1bbaf84

29077380 has 144 divisors (see below), whose sum is σ = 94907904. Its totient is φ = 7464960.

The previous prime is 29077379. The next prime is 29077381. The reversal of 29077380 is 8377092.

It is an interprime number because it is at equal distance from previous prime (29077379) and next prime (29077381).

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

It is not an unprimeable number, because it can be changed into a prime (29077381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 150564 + ... + 150756.

Almost surely, 229077380 is an apocalyptic number.

29077380 is a gapful number since it is divisible by the number (20) 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 29077380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47453952).

29077380 is an abundant number, since it is smaller than the sum of its proper divisors (65830524).

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

29077380 is a wasteful number, since it uses less digits than its factorization.

29077380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 29077380 is about 5392.3445735598. The cubic root of 29077380 is about 307.5046995118.

The spelling of 29077380 in words is "twenty-nine million, seventy-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 193 243 270 279 310 324 372 386 405 465 486 540 558 579 620 772 810 837 930 965 972 1116 1158 1215 1395 1620 1674 1737 1860 1930 2316 2430 2511 2790 2895 3348 3474 3860 4185 4860 5022 5211 5580 5790 5983 6948 7533 8370 8685 10044 10422 11580 11966 12555 15066 15633 16740 17370 17949 20844 23932 25110 26055 29915 30132 31266 34740 35898 37665 46899 50220 52110 53847 59830 62532 71796 75330 78165 89745 93798 104220 107694 119660 150660 156330 161541 179490 187596 215388 234495 269235 312660 323082 358980 468990 484623 538470 646164 807705 937980 969246 1076940 1453869 1615410 1938492 2423115 2907738 3230820 4846230 5815476 7269345 9692460 14538690 29077380