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29269920 = 2535172211
BaseRepresentation
bin110111110100…
…1111110100000
32001002001210010
41233221332200
524443114140
62523204520
7503535021
oct157517640
961061703
1029269920
1115581a19
129976740
1360aa8a4
143c5cc48
152882880
hex1be9fa0

29269920 has 144 divisors (see below), whose sum is σ = 98407008. Its totient is φ = 7311360.

The previous prime is 29269909. The next prime is 29269927. The reversal of 29269920 is 2996292.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (29269927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138615 + ... + 138825.

It is an arithmetic number, because the mean of its divisors is an integer number (683382).

Almost surely, 229269920 is an apocalyptic number.

29269920 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 29269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203504).

29269920 is an abundant number, since it is smaller than the sum of its proper divisors (69137088).

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

29269920 is a wasteful number, since it uses less digits than its factorization.

29269920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 29269920 is about 5410.1682044092. The cubic root of 29269920 is about 308.1819355747.

The spelling of 29269920 in words is "twenty-nine million, two hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 211 240 255 272 289 340 408 422 480 510 544 578 633 680 816 844 867 1020 1055 1156 1266 1360 1445 1632 1688 1734 2040 2110 2312 2532 2720 2890 3165 3376 3468 3587 4080 4220 4335 4624 5064 5780 6330 6752 6936 7174 8160 8440 8670 9248 10128 10761 11560 12660 13872 14348 16880 17340 17935 20256 21522 23120 25320 27744 28696 33760 34680 35870 43044 46240 50640 53805 57392 60979 69360 71740 86088 101280 107610 114784 121958 138720 143480 172176 182937 215220 243916 286960 304895 344352 365874 430440 487832 573920 609790 731748 860880 914685 975664 1219580 1463496 1721760 1829370 1951328 2439160 2926992 3658740 4878320 5853984 7317480 9756640 14634960 29269920