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29300700 = 223521113683
BaseRepresentation
bin110111111000…
…1011111011100
32001010122000010
41233301133130
530000110300
62524003220
7504023532
oct157613734
961118003
1029300700
11155a3060
129990510
1360bb8c0
143c6a152
15288ba50
hex1bf17dc

29300700 has 144 divisors (see below), whose sum is σ = 99743616. Its totient is φ = 6547200.

The previous prime is 29300671. The next prime is 29300729. The reversal of 29300700 is 700392.

It is an interprime number because it is at equal distance from previous prime (29300671) and next prime (29300729).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42559 + ... + 43241.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 229300700 is an apocalyptic number.

29300700 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 29300700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49871808).

29300700 is an abundant number, since it is smaller than the sum of its proper divisors (70442916).

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

29300700 is a wasteful number, since it uses less digits than its factorization.

29300700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 29300700 is about 5413.0121004853. The cubic root of 29300700 is about 308.2899249012.

The spelling of 29300700 in words is "twenty-nine million, three hundred thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 25 26 30 33 39 44 50 52 55 60 65 66 75 78 100 110 130 132 143 150 156 165 195 220 260 275 286 300 325 330 390 429 550 572 650 660 683 715 780 825 858 975 1100 1300 1366 1430 1650 1716 1950 2049 2145 2732 2860 3300 3415 3575 3900 4098 4290 6830 7150 7513 8196 8580 8879 10245 10725 13660 14300 15026 17075 17758 20490 21450 22539 26637 30052 34150 35516 37565 40980 42900 44395 45078 51225 53274 68300 75130 88790 90156 97669 102450 106548 112695 133185 150260 177580 187825 195338 204900 221975 225390 266370 293007 375650 390676 443950 450780 488345 532740 563475 586014 665925 751300 887900 976690 1126950 1172028 1331850 1465035 1953380 2253900 2441725 2663700 2930070 4883450 5860140 7325175 9766900 14650350 29300700