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29122020 = 223251731307
BaseRepresentation
bin110111100010…
…1110111100100
32000210112220100
41233011313210
524423401040
62520104100
7502350564
oct157056744
960715810
1029122020
1115490894
129905030
136058485
143c20da4
152853b30
hex1bc5de4

29122020 has 144 divisors (see below), whose sum is σ = 96864768. Its totient is φ = 7050240.

The previous prime is 29121977. The next prime is 29122031. The reversal of 29122020 is 2022192.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 29121984 and 29122002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94707 + ... + 95013.

It is an arithmetic number, because the mean of its divisors is an integer number (672672).

Almost surely, 229122020 is an apocalyptic number.

29122020 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 29122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48432384).

29122020 is an abundant number, since it is smaller than the sum of its proper divisors (67742748).

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

29122020 is a wasteful number, since it uses less digits than its factorization.

29122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 29122020 is about 5396.4821874996. The cubic root of 29122020 is about 307.6619808892.

The spelling of 29122020 in words is "twenty-nine million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 307 310 340 372 465 510 527 558 612 614 620 765 921 930 1020 1054 1116 1228 1395 1530 1535 1581 1842 1860 2108 2635 2763 2790 3060 3070 3162 3684 4605 4743 5219 5270 5526 5580 6140 6324 7905 9210 9486 9517 10438 10540 11052 13815 15657 15810 18420 18972 19034 20876 23715 26095 27630 28551 31314 31620 38068 46971 47430 47585 52190 55260 57102 62628 78285 85653 93942 94860 95170 104380 114204 142755 156570 161789 171306 187884 190340 234855 285510 313140 323578 342612 428265 469710 485367 571020 647156 808945 856530 939420 970734 1456101 1617890 1713060 1941468 2426835 2912202 3235780 4853670 5824404 7280505 9707340 14561010 29122020