[go: up one dir, main page]

Search a number
-
+
20507850 = 23352111381
BaseRepresentation
bin100111000111…
…0110011001010
31102120220111000
41032032303022
520222222400
62011315430
7336212436
oct116166312
942526430
1020507850
1110637940
126a4bb76
13433062c
142a1b9c6
151c01600
hex138ecca

20507850 has 96 divisors (see below), whose sum is σ = 61692480. Its totient is φ = 4968000.

The previous prime is 20507849. The next prime is 20507857. The reversal of 20507850 is 5870502.

It is a happy number.

It is a super-3 number, since 3×205078503 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (20507857) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14160 + ... + 15540.

It is an arithmetic number, because the mean of its divisors is an integer number (642630).

Almost surely, 220507850 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20507850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30846240).

20507850 is an abundant number, since it is smaller than the sum of its proper divisors (41184630).

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

20507850 is a wasteful number, since it uses less digits than its factorization.

20507850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1402 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 20507850 is about 4528.5593735757. The cubic root of 20507850 is about 273.7201130817.

The spelling of 20507850 in words is "twenty million, five hundred seven thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 27 30 33 45 50 54 55 66 75 90 99 110 135 150 165 198 225 270 275 297 330 450 495 550 594 675 825 990 1350 1381 1485 1650 2475 2762 2970 4143 4950 6905 7425 8286 12429 13810 14850 15191 20715 24858 30382 34525 37287 41430 45573 62145 69050 74574 75955 91146 103575 124290 136719 151910 186435 207150 227865 273438 310725 372870 379775 410157 455730 621450 683595 759550 820314 932175 1139325 1367190 1864350 2050785 2278650 3417975 4101570 6835950 10253925 20507850