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20197248 = 273149353
BaseRepresentation
bin100110100001…
…0111110000000
31102000010102020
41031002332000
520132302443
62000521440
7333450051
oct115027600
942003366
1020197248
1110445545
126920280
134252146
14297a728
151b8e583
hex1342f80

20197248 has 64 divisors (see below), whose sum is σ = 54162000. Its totient is φ = 6668288.

The previous prime is 20197237. The next prime is 20197249. The reversal of 20197248 is 84279102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20197249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57040 + ... + 57392.

Almost surely, 220197248 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 20197248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27081000).

20197248 is an abundant number, since it is smaller than the sum of its proper divisors (33964752).

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

20197248 is a wasteful number, since it uses less digits than its factorization.

20197248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 20197248 is about 4494.1348444389. The cubic root of 20197248 is about 272.3311997817.

The spelling of 20197248 in words is "twenty million, one hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 149 192 298 353 384 447 596 706 894 1059 1192 1412 1788 2118 2384 2824 3576 4236 4768 5648 7152 8472 9536 11296 14304 16944 19072 22592 28608 33888 45184 52597 57216 67776 105194 135552 157791 210388 315582 420776 631164 841552 1262328 1683104 2524656 3366208 5049312 6732416 10098624 20197248