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19697664 = 21237229
BaseRepresentation
bin100101100100…
…1000000000000
31101001202010010
41023021000000
520020311124
61542104520
7326266410
oct113110000
941052103
1019697664
1110134168
12671b140
13410892c
14288a640
151ae1529
hex12c9000

19697664 has 104 divisors (see below), whose sum is σ = 60285760. Its totient is φ = 5603328.

The previous prime is 19697659. The next prime is 19697669. The reversal of 19697664 is 46679691.

It is an interprime number because it is at equal distance from previous prime (19697659) and next prime (19697669).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (19697669) 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, 85902 + ... + 86130.

Almost surely, 219697664 is an apocalyptic number.

19697664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19697664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30142880).

19697664 is an abundant number, since it is smaller than the sum of its proper divisors (40588096).

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

19697664 is an equidigital number, since it uses as much as digits as its factorization.

19697664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 241 counting only the distinct ones).

The product of its digits is 489888, while the sum is 48.

The square root of 19697664 is about 4438.2050425820. The cubic root of 19697664 is about 270.0670341102.

The spelling of 19697664 in words is "nineteen million, six hundred ninety-seven thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 229 256 336 384 448 458 512 672 687 768 896 916 1024 1344 1374 1536 1603 1792 1832 2048 2688 2748 3072 3206 3584 3664 4096 4809 5376 5496 6144 6412 7168 7328 9618 10752 10992 12288 12824 14336 14656 19236 21504 21984 25648 28672 29312 38472 43008 43968 51296 58624 76944 86016 87936 102592 117248 153888 175872 205184 234496 307776 351744 410368 468992 615552 703488 820736 937984 1231104 1406976 1641472 2462208 2813952 3282944 4924416 6565888 9848832 19697664