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20087040 = 28355231
BaseRepresentation
bin100110010100…
…0000100000000
31101210112020110
41030220010000
520120241130
61554311320
7332510541
oct114500400
941715213
1020087040
111037a766
126888540
134213c2c
14294c4c8
151b6bab0
hex1328100

20087040 has 72 divisors (see below), whose sum is σ = 64165248. Its totient is φ = 5355520.

The previous prime is 20087021. The next prime is 20087059. The reversal of 20087040 is 4078002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20087021) and next prime (20087059).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 20086998 and 20087016.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1225 + ... + 6455.

It is an arithmetic number, because the mean of its divisors is an integer number (891184).

Almost surely, 220087040 is an apocalyptic number.

20087040 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 20087040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32082624).

20087040 is an abundant number, since it is smaller than the sum of its proper divisors (44078208).

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

20087040 is an equidigital number, since it uses as much as digits as its factorization.

20087040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5255 (or 5241 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 20087040 is about 4481.8567580859. The cubic root of 20087040 is about 271.8349633210.

The spelling of 20087040 in words is "twenty million, eighty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 5231 10462 15693 20924 26155 31386 41848 52310 62772 78465 83696 104620 125544 156930 167392 209240 251088 313860 334784 418480 502176 627720 669568 836960 1004352 1255440 1339136 1673920 2008704 2510880 3347840 4017408 5021760 6695680 10043520 20087040