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20729376 = 2532167431
BaseRepresentation
bin100111100010…
…0111000100000
31110000011100200
41033010320200
520301320001
62020145200
7341124333
oct117047040
943004320
1020729376
1110779318
126b38200
1343aa405
142a7861a
151c47086
hex13c4e20

20729376 has 72 divisors (see below), whose sum is σ = 59439744. Its totient is φ = 6852480.

The previous prime is 20729369. The next prime is 20729377. The reversal of 20729376 is 67392702.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20729376.

It is not an unprimeable number, because it can be changed into a prime (20729377) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47881 + ... + 48311.

It is an arithmetic number, because the mean of its divisors is an integer number (825552).

Almost surely, 220729376 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 20729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29719872).

20729376 is an abundant number, since it is smaller than the sum of its proper divisors (38710368).

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

20729376 is a wasteful number, since it uses less digits than its factorization.

20729376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 20729376 is about 4552.9524486865. The cubic root of 20729376 is about 274.7021612888.

The spelling of 20729376 in words is "twenty million, seven hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 167 288 334 431 501 668 862 1002 1293 1336 1503 1724 2004 2586 2672 3006 3448 3879 4008 5172 5344 6012 6896 7758 8016 10344 12024 13792 15516 16032 20688 24048 31032 41376 48096 62064 71977 124128 143954 215931 287908 431862 575816 647793 863724 1151632 1295586 1727448 2303264 2591172 3454896 5182344 6909792 10364688 20729376