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21197160 = 23335191033
BaseRepresentation
bin101000011011…
…1000101101000
31110212221001000
41100313011220
520411302120
62034155000
7345113205
oct120670550
943787030
1021197160
1110a68816
127122a60
1345122ca
142b5acac
151cda990
hex1437168

21197160 has 128 divisors (see below), whose sum is σ = 74448000. Its totient is φ = 5349888.

The previous prime is 21197159. The next prime is 21197161. The reversal of 21197160 is 6179112.

It is an interprime number because it is at equal distance from previous prime (21197159) and next prime (21197161).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21197161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20004 + ... + 21036.

It is an arithmetic number, because the mean of its divisors is an integer number (581625).

Almost surely, 221197160 is an apocalyptic number.

21197160 is a gapful number since it is divisible by the number (20) 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 21197160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37224000).

21197160 is an abundant number, since it is smaller than the sum of its proper divisors (53250840).

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

21197160 is a wasteful number, since it uses less digits than its factorization.

21197160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1062 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 21197160 is about 4604.0373586668. The cubic root of 21197160 is about 276.7531414659.

The spelling of 21197160 in words is "twenty-one million, one hundred ninety-seven thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1033 1080 1140 1368 1710 2052 2066 2280 2565 3099 3420 4104 4132 5130 5165 6198 6840 8264 9297 10260 10330 12396 15495 18594 19627 20520 20660 24792 27891 30990 37188 39254 41320 46485 55782 58881 61980 74376 78508 92970 98135 111564 117762 123960 139455 157016 176643 185940 196270 223128 235524 278910 294405 353286 371880 392540 471048 529929 557820 588810 706572 785080 883215 1059858 1115640 1177620 1413144 1766430 2119716 2355240 2649645 3532860 4239432 5299290 7065720 10598580 21197160