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29320920 = 23335171597
BaseRepresentation
bin110111111011…
…0011011011000
32001011122202000
41233312123120
530001232140
62524241000
7504136506
oct157663330
961148660
1029320920
1115607272
1299a0160
1360c7b75
143c73676
152892a30
hex1bf66d8

29320920 has 128 divisors (see below), whose sum is σ = 103550400. Its totient is φ = 7354368.

The previous prime is 29320919. The next prime is 29320927. The reversal of 29320920 is 2902392.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29320927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17562 + ... + 19158.

Almost surely, 229320920 is an apocalyptic number.

29320920 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 29320920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775200).

29320920 is an abundant number, since it is smaller than the sum of its proper divisors (74229480).

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

29320920 is a wasteful number, since it uses less digits than its factorization.

29320920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1634 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29320920 is about 5414.8795000443. The cubic root of 29320920 is about 308.3608241052.

The spelling of 29320920 in words is "twenty-nine million, three hundred twenty thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 85 90 102 108 120 135 136 153 170 180 204 216 255 270 306 340 360 408 459 510 540 612 680 765 918 1020 1080 1224 1530 1597 1836 2040 2295 3060 3194 3672 4590 4791 6120 6388 7985 9180 9582 12776 14373 15970 18360 19164 23955 27149 28746 31940 38328 43119 47910 54298 57492 63880 71865 81447 86238 95820 108596 114984 135745 143730 162894 172476 191640 215595 217192 244341 271490 287460 325788 344952 407235 431190 488682 542980 574920 651576 733023 814470 862380 977364 1085960 1221705 1466046 1628940 1724760 1954728 2443410 2932092 3257880 3665115 4886820 5864184 7330230 9773640 14660460 29320920