Search a number
-
+
29886720 = 283543181
BaseRepresentation
bin111001000000…
…0100100000000
32002020101212120
41302000210000
530122333340
62544324240
7512014203
oct162004400
962211776
1029886720
1115963376
12a013680
136265566
143d7d93a
1529554d0
hex1c80900

29886720 has 144 divisors (see below), whose sum is σ = 98210112. Its totient is φ = 7741440.

The previous prime is 29886719. The next prime is 29886737. The reversal of 29886720 is 2768892.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165030 + ... + 165210.

Almost surely, 229886720 is an apocalyptic number.

29886720 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 29886720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49105056).

29886720 is an abundant number, since it is smaller than the sum of its proper divisors (68323392).

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

29886720 is a wasteful number, since it uses less digits than its factorization.

29886720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 29886720 is about 5466.8747927861. The cubic root of 29886720 is about 310.3316603013.

The spelling of 29886720 in words is "twenty-nine million, eight hundred eighty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 64 80 86 96 120 128 129 160 172 181 192 215 240 256 258 320 344 362 384 430 480 516 543 640 645 688 724 768 860 905 960 1032 1086 1280 1290 1376 1448 1720 1810 1920 2064 2172 2580 2715 2752 2896 3440 3620 3840 4128 4344 5160 5430 5504 5792 6880 7240 7783 8256 8688 10320 10860 11008 11584 13760 14480 15566 16512 17376 20640 21720 23168 23349 27520 28960 31132 33024 34752 38915 41280 43440 46336 46698 55040 57920 62264 69504 77830 82560 86880 93396 115840 116745 124528 139008 155660 165120 173760 186792 231680 233490 249056 311320 347520 373584 466980 498112 622640 695040 747168 933960 996224 1245280 1494336 1867920 1992448 2490560 2988672 3735840 4981120 5977344 7471680 9962240 14943360 29886720