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21298480 = 245773521
BaseRepresentation
bin101000100111…
…1110100110000
31111002002000121
41101033310300
520423022410
62040300024
7346014460
oct121176460
944062017
1021298480
1111027955
127171614
134549468
142b85ba0
151d0a9da
hex144fd30

21298480 has 80 divisors (see below), whose sum is σ = 57478464. Its totient is φ = 7188480.

The previous prime is 21298471. The next prime is 21298489. The reversal of 21298480 is 8489212.

It is an interprime number because it is at equal distance from previous prime (21298471) and next prime (21298489).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21298489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40620 + ... + 41140.

Almost surely, 221298480 is an apocalyptic number.

21298480 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 21298480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28739232).

21298480 is an abundant number, since it is smaller than the sum of its proper divisors (36179984).

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

21298480 is a wasteful number, since it uses less digits than its factorization.

21298480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 21298480 is about 4615.0276272196. The cubic root of 21298480 is about 277.1933902156.

It can be divided in two parts, 2129 and 8480, that added together give a square (10609 = 1032).

The spelling of 21298480 in words is "twenty-one million, two hundred ninety-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 73 80 112 140 146 280 292 365 511 521 560 584 730 1022 1042 1168 1460 2044 2084 2555 2605 2920 3647 4088 4168 5110 5210 5840 7294 8176 8336 10220 10420 14588 18235 20440 20840 29176 36470 38033 40880 41680 58352 72940 76066 145880 152132 190165 266231 291760 304264 380330 532462 608528 760660 1064924 1331155 1521320 2129848 2662310 3042640 4259696 5324620 10649240 21298480