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20079136 = 2571129281
BaseRepresentation
bin100110010011…
…0001000100000
31101210010101201
41030212020200
520120013021
61554210544
7332445520
oct114461040
941703351
1020079136
1110374830
126883a54
13421045c
142949680
151b69591
hex1326220

20079136 has 96 divisors (see below), whose sum is σ = 51166080. Its totient is φ = 7526400.

The previous prime is 20079127. The next prime is 20079139. The reversal of 20079136 is 63197002.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (20079139) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71316 + ... + 71596.

It is an arithmetic number, because the mean of its divisors is an integer number (532980).

Almost surely, 220079136 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 20079136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25583040).

20079136 is an abundant number, since it is smaller than the sum of its proper divisors (31086944).

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

20079136 is a wasteful number, since it uses less digits than its factorization.

20079136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The square root of 20079136 is about 4480.9748939265. The cubic root of 20079136 is about 271.7993040862.

The spelling of 20079136 in words is "twenty million, seventy-nine thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 77 88 112 116 154 176 203 224 232 281 308 319 352 406 464 562 616 638 812 928 1124 1232 1276 1624 1967 2233 2248 2464 2552 3091 3248 3934 4466 4496 5104 6182 6496 7868 8149 8932 8992 10208 12364 15736 16298 17864 21637 24728 31472 32596 35728 43274 49456 57043 62944 65192 71456 86548 89639 98912 114086 130384 173096 179278 228172 260768 346192 358556 456344 627473 692384 717112 912688 1254946 1434224 1825376 2509892 2868448 5019784 10039568 20079136