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20749416 = 233311672
BaseRepresentation
bin100111100100…
…1110001101000
31110001011211220
41033021301220
520302440131
62020422040
7341236632
oct117116150
943034756
1020749416
1110792386
126b47920
1343b657c
142a81a52
151c4ce96
hex13c9c68

20749416 has 48 divisors (see below), whose sum is σ = 53869440. Its totient is φ = 6653280.

The previous prime is 20749369. The next prime is 20749423. The reversal of 20749416 is 61494702.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124165 + ... + 124331.

It is an arithmetic number, because the mean of its divisors is an integer number (1122280).

Almost surely, 220749416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20749416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934720).

20749416 is an abundant number, since it is smaller than the sum of its proper divisors (33120024).

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

20749416 is a wasteful number, since it uses less digits than its factorization.

20749416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 20749416 is about 4555.1526867933. The cubic root of 20749416 is about 274.7906550007.

The spelling of 20749416 in words is "twenty million, seven hundred forty-nine thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 167 186 248 334 372 501 668 744 1002 1336 2004 4008 5177 10354 15531 20708 27889 31062 41416 55778 62124 83667 111556 124248 167334 223112 334668 669336 864559 1729118 2593677 3458236 5187354 6916472 10374708 20749416