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29021400 = 23325223701
BaseRepresentation
bin110111010110…
…1010011011000
32000121102212200
41232231103120
524412141100
62514010200
7501451332
oct156552330
960542780
1029021400
1115422231
129876960
136021735
143bd6452
152833e00
hex1bad4d8

29021400 has 144 divisors (see below), whose sum is σ = 101846160. Its totient is φ = 7392000.

The previous prime is 29021389. The next prime is 29021401. The reversal of 29021400 is 412092.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29021401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41050 + ... + 41750.

It is an arithmetic number, because the mean of its divisors is an integer number (707265).

Almost surely, 229021400 is an apocalyptic number.

29021400 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 29021400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50923080).

29021400 is an abundant number, since it is smaller than the sum of its proper divisors (72824760).

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

29021400 is a wasteful number, since it uses less digits than its factorization.

29021400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

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

The square root of 29021400 is about 5387.1513808320. The cubic root of 29021400 is about 307.3072359184.

Adding to 29021400 its reverse (412092), we get a palindrome (29433492).

The spelling of 29021400 in words is "twenty-nine million, twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 701 828 900 920 1035 1150 1380 1402 1656 1725 1800 2070 2103 2300 2760 2804 3450 3505 4140 4206 4600 5175 5608 6309 6900 7010 8280 8412 10350 10515 12618 13800 14020 16123 16824 17525 20700 21030 25236 28040 31545 32246 35050 41400 42060 48369 50472 52575 63090 64492 70100 80615 84120 96738 105150 126180 128984 140200 145107 157725 161230 193476 210300 241845 252360 290214 315450 322460 386952 403075 420600 483690 580428 630900 644920 725535 806150 967380 1160856 1209225 1261800 1451070 1612300 1934760 2418450 2902140 3224600 3627675 4836900 5804280 7255350 9673800 14510700 29021400