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29333070 = 23351361137
BaseRepresentation
bin110111111100…
…1011001001110
32001012021102000
41233321121032
530002124240
62524413130
7504220104
oct157713116
961167360
1029333070
1115615408
1299a71a6
136100560
143c77c74
152896430
hex1bf964e

29333070 has 128 divisors (see below), whose sum is σ = 86244480. Its totient is φ = 7050240.

The previous prime is 29333033. The next prime is 29333107. The reversal of 29333070 is 7033392.

It is an interprime number because it is at equal distance from previous prime (29333033) and next prime (29333107).

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

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214042 + ... + 214178.

It is an arithmetic number, because the mean of its divisors is an integer number (673785).

Almost surely, 229333070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29333070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43122240).

29333070 is an abundant number, since it is smaller than the sum of its proper divisors (56911410).

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

29333070 is a wasteful number, since it uses less digits than its factorization.

29333070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 29333070 is about 5416.0012924666. The cubic root of 29333070 is about 308.4034110661.

The spelling of 29333070 in words is "twenty-nine million, three hundred thirty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 61 65 78 90 117 122 130 135 137 183 195 234 270 274 305 351 366 390 411 549 585 610 685 702 793 822 915 1098 1170 1233 1370 1586 1647 1755 1781 1830 2055 2379 2466 2745 3294 3510 3562 3699 3965 4110 4758 5343 5490 6165 7137 7398 7930 8235 8357 8905 10686 11895 12330 14274 16029 16470 16714 17810 18495 21411 23790 25071 26715 32058 35685 36990 41785 42822 48087 50142 53430 71370 75213 80145 83570 96174 107055 108641 125355 150426 160290 214110 217282 225639 240435 250710 325923 376065 451278 480870 543205 651846 752130 977769 1086410 1128195 1629615 1955538 2256390 2933307 3259230 4888845 5866614 9777690 14666535 29333070