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20147040 = 2532517823
BaseRepresentation
bin100110011011…
…0101101100000
31101220120112200
41030312231200
520124201130
61555453200
7333150504
oct114665540
941816480
1020147040
1110410851
1268b7200
134235334
142966304
151b7e760
hex1336b60

20147040 has 144 divisors (see below), whose sum is σ = 72884448. Its totient is φ = 5050368.

The previous prime is 20147033. The next prime is 20147059. The reversal of 20147040 is 4074102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24069 + ... + 24891.

It is an arithmetic number, because the mean of its divisors is an integer number (506142).

Almost surely, 220147040 is an apocalyptic number.

20147040 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 20147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36442224).

20147040 is an abundant number, since it is smaller than the sum of its proper divisors (52737408).

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

20147040 is a wasteful number, since it uses less digits than its factorization.

20147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 20147040 is about 4488.5454214032. The cubic root of 20147040 is about 272.1053513468.

The spelling of 20147040 in words is "twenty million, one hundred forty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 823 1020 1224 1360 1440 1530 1632 1646 2040 2448 2469 2720 3060 3292 4080 4115 4896 4938 6120 6584 7407 8160 8230 9876 12240 12345 13168 13991 14814 16460 19752 24480 24690 26336 27982 29628 32920 37035 39504 41973 49380 55964 59256 65840 69955 74070 79008 83946 98760 111928 118512 125919 131680 139910 148140 167892 197520 209865 223856 237024 251838 279820 296280 335784 395040 419730 447712 503676 559640 592560 629595 671568 839460 1007352 1119280 1185120 1259190 1343136 1678920 2014704 2238560 2518380 3357840 4029408 5036760 6715680 10073520 20147040