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20249520 = 2435139607
BaseRepresentation
bin100110100111…
…1101110110000
31102002210010020
41031033232300
520140441040
62002003440
7334055334
oct115175660
942083106
1020249520
1110480845
126946580
13426cb85
1429917c4
151b9ecd0
hex134fbb0

20249520 has 80 divisors (see below), whose sum is σ = 63329280. Its totient is φ = 5352192.

The previous prime is 20249519. The next prime is 20249539. The reversal of 20249520 is 2594202.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33057 + ... + 33663.

It is an arithmetic number, because the mean of its divisors is an integer number (791616).

Almost surely, 220249520 is an apocalyptic number.

20249520 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 20249520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31664640).

20249520 is an abundant number, since it is smaller than the sum of its proper divisors (43079760).

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

20249520 is a wasteful number, since it uses less digits than its factorization.

20249520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 20249520 is about 4499.9466663506. The cubic root of 20249520 is about 272.5659352834.

The spelling of 20249520 in words is "twenty million, two hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 607 695 834 1112 1214 1390 1668 1821 2085 2224 2428 2780 3035 3336 3642 4170 4856 5560 6070 6672 7284 8340 9105 9712 11120 12140 14568 16680 18210 24280 29136 33360 36420 48560 72840 84373 145680 168746 253119 337492 421865 506238 674984 843730 1012476 1265595 1349968 1687460 2024952 2531190 3374920 4049904 5062380 6749840 10124760 20249520