Search a number
-
+
29802720 = 2535292141
BaseRepresentation
bin111000110110…
…0000011100000
32002002010122110
41301230003200
530112141340
62542435320
7511214253
oct161540340
962063573
1029802720
1115906252
129b92b40
13623625c
143d5b09a
15293a680
hex1c6c0e0

29802720 has 96 divisors (see below), whose sum is σ = 97161120. Its totient is φ = 7669760.

The previous prime is 29802713. The next prime is 29802743. The reversal of 29802720 is 2720892.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent 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, 12850 + ... + 14990.

It is an arithmetic number, because the mean of its divisors is an integer number (1012095).

Almost surely, 229802720 is an apocalyptic number.

29802720 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 29802720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48580560).

29802720 is an abundant number, since it is smaller than the sum of its proper divisors (67358400).

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

29802720 is a wasteful number, since it uses less digits than its factorization.

29802720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2180 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 29802720 is about 5459.1867526217. The cubic root of 29802720 is about 310.0406467687.

The spelling of 29802720 in words is "twenty-nine million, eight hundred two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 32 40 48 58 60 80 87 96 116 120 145 160 174 232 240 290 348 435 464 480 580 696 870 928 1160 1392 1740 2141 2320 2784 3480 4282 4640 6423 6960 8564 10705 12846 13920 17128 21410 25692 32115 34256 42820 51384 62089 64230 68512 85640 102768 124178 128460 171280 186267 205536 248356 256920 310445 342560 372534 496712 513840 620890 745068 931335 993424 1027680 1241780 1490136 1862670 1986848 2483560 2980272 3725340 4967120 5960544 7450680 9934240 14901360 29802720