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20123136 = 293211397
BaseRepresentation
bin100110011000…
…0111000000000
31101212100202100
41030300320000
520122420021
61555150400
7333021015
oct114607000
941770670
1020123136
11103a48a0
1268a5400
1342274a7
14295b70c
151b77626
hex1330e00

20123136 has 120 divisors (see below), whose sum is σ = 63516024. Its totient is φ = 6082560.

The previous prime is 20123119. The next prime is 20123141. The reversal of 20123136 is 63132102.

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

It is a congruent 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, 50490 + ... + 50886.

Almost surely, 220123136 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 20123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31758012).

20123136 is an abundant number, since it is smaller than the sum of its proper divisors (43392888).

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

20123136 is a wasteful number, since it uses less digits than its factorization.

20123136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20123136 is about 4485.8818531031. The cubic root of 20123136 is about 271.9976931754.

Adding to 20123136 its reverse (63132102), we get a palindrome (83255238).

The spelling of 20123136 in words is "twenty million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 397 512 528 576 704 768 792 794 1056 1152 1191 1408 1536 1584 1588 2112 2304 2382 2816 3168 3176 3573 4224 4367 4608 4764 5632 6336 6352 7146 8448 8734 9528 12672 12704 13101 14292 16896 17468 19056 25344 25408 26202 28584 34936 38112 39303 50688 50816 52404 57168 69872 76224 78606 101632 104808 114336 139744 152448 157212 203264 209616 228672 279488 304896 314424 419232 457344 558976 609792 628848 838464 914688 1117952 1257696 1676928 1829376 2235904 2515392 3353856 5030784 6707712 10061568 20123136