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20074050 = 23252311439
BaseRepresentation
bin100110010010…
…0111001000010
31101202212102100
41030210321002
520114332200
61554131230
7332424633
oct114447102
941685370
1020074050
1110370a27
126880b16
13420b049
14294788a
151b67d00
hex1324e42

20074050 has 72 divisors (see below), whose sum is σ = 55710720. Its totient is φ = 5176800.

The previous prime is 20074049. The next prime is 20074057. The reversal of 20074050 is 5047002.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20074057) 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, 13231 + ... + 14669.

It is an arithmetic number, because the mean of its divisors is an integer number (773760).

Almost surely, 220074050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20074050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27855360).

20074050 is an abundant number, since it is smaller than the sum of its proper divisors (35636670).

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

20074050 is a wasteful number, since it uses less digits than its factorization.

20074050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1488 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 20074050 is about 4480.4073475522. The cubic root of 20074050 is about 271.7763534308.

The spelling of 20074050 in words is "twenty million, seventy-four thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 31 45 50 62 75 90 93 150 155 186 225 279 310 450 465 558 775 930 1395 1439 1550 2325 2790 2878 4317 4650 6975 7195 8634 12951 13950 14390 21585 25902 35975 43170 44609 64755 71950 89218 107925 129510 133827 215850 223045 267654 323775 401481 446090 647550 669135 802962 1115225 1338270 2007405 2230450 3345675 4014810 6691350 10037025 20074050