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20153000 = 235372879
BaseRepresentation
bin100110011100…
…0001010101000
31101220212201102
41030320022220
520124344000
61555540532
7333204050
oct114701250
941825642
1020153000
111041527a
1268ba748
134237c6a
142968560
151b813d5
hex13382a8

20153000 has 64 divisors (see below), whose sum is σ = 53913600. Its totient is φ = 6907200.

The previous prime is 20152969. The next prime is 20153009. The reversal of 20153000 is 35102.

It is a super-2 number, since 2×201530002 = 812286818000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20153009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5561 + ... + 8439.

It is an arithmetic number, because the mean of its divisors is an integer number (842400).

Almost surely, 220153000 is an apocalyptic number.

20153000 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 20153000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26956800).

20153000 is an abundant number, since it is smaller than the sum of its proper divisors (33760600).

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

20153000 is a wasteful number, since it uses less digits than its factorization.

20153000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2907 (or 2893 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 11.

The square root of 20153000 is about 4489.2092844954. The cubic root of 20153000 is about 272.1321805651.

Adding to 20153000 its reverse (35102), we get a palindrome (20188102).

The spelling of 20153000 in words is "twenty million, one hundred fifty-three thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 2879 3500 5758 7000 11516 14395 20153 23032 28790 40306 57580 71975 80612 100765 115160 143950 161224 201530 287900 359875 403060 503825 575800 719750 806120 1007650 1439500 2015300 2519125 2879000 4030600 5038250 10076500 20153000