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20197456 = 241929279
BaseRepresentation
bin100110100001…
…1000001010000
31102000010200221
41031003001100
520132304311
62000522424
7333450466
oct115030120
942003627
1020197456
1110445714
126920414
134252276
14297a836
151b8e671
hex1343050

20197456 has 60 divisors (see below), whose sum is σ = 43201600. Its totient is φ = 9120384.

The previous prime is 20197453. The next prime is 20197459. The reversal of 20197456 is 65479102.

It is an interprime number because it is at equal distance from previous prime (20197453) and next prime (20197459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20197453) 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, 255625 + ... + 255703.

Almost surely, 220197456 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 20197456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600800).

20197456 is an abundant number, since it is smaller than the sum of its proper divisors (23004144).

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

20197456 is a wasteful number, since it uses less digits than its factorization.

20197456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 20197456 is about 4494.1579856520. The cubic root of 20197456 is about 272.3321346400.

The spelling of 20197456 in words is "twenty million, one hundred ninety-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 19 29 38 58 76 79 116 152 158 232 304 316 464 551 632 841 1102 1264 1501 1682 2204 2291 3002 3364 4408 4582 6004 6728 8816 9164 12008 13456 15979 18328 24016 31958 36656 43529 63916 66439 87058 127832 132878 174116 255664 265756 348232 531512 696464 1063024 1262341 2524682 5049364 10098728 20197456