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20157936 = 2431923312
BaseRepresentation
bin100110011100…
…1010111110000
31101221010111020
41030321113300
520130023221
62000015440
7333224331
oct114712760
941833436
1020157936
1110418a57
126901580
13423a296
14296a288
151b82ac6
hex13395f0

20157936 has 120 divisors (see below), whose sum is σ = 59103360. Its totient is φ = 5892480.

The previous prime is 20157923. The next prime is 20157941. The reversal of 20157936 is 63975102.

It is a junction number, because it is equal to n+sod(n) for n = 20157897 and 20157906.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 650241 + ... + 650271.

It is an arithmetic number, because the mean of its divisors is an integer number (492528).

Almost surely, 220157936 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 20157936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29551680).

20157936 is an abundant number, since it is smaller than the sum of its proper divisors (38945424).

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

20157936 is a wasteful number, since it uses less digits than its factorization.

20157936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 20157936 is about 4489.7590135775. The cubic root of 20157936 is about 272.1543961954.

The spelling of 20157936 in words is "twenty million, one hundred fifty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 23 24 31 38 46 48 57 62 69 76 92 93 114 124 138 152 184 186 228 248 276 304 368 372 437 456 496 552 589 713 744 874 912 961 1104 1178 1311 1426 1488 1748 1767 1922 2139 2356 2622 2852 2883 3496 3534 3844 4278 4712 5244 5704 5766 6992 7068 7688 8556 9424 10488 11408 11532 13547 14136 15376 17112 18259 20976 22103 23064 27094 28272 34224 36518 40641 44206 46128 54188 54777 66309 73036 81282 88412 108376 109554 132618 146072 162564 176824 216752 219108 265236 292144 325128 353648 419957 438216 530472 650256 839914 876432 1060944 1259871 1679828 2519742 3359656 5039484 6719312 10078968 20157936