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21417080 = 2352937499
BaseRepresentation
bin101000110110…
…0110001111000
31111022002201012
41101230301320
520440321310
62043013052
7350020316
oct121546170
944262635
1021417080
11110a8a73
12720a188
13458b439
142bb70b6
151d30c05
hex146cc78

21417080 has 64 divisors (see below), whose sum is σ = 51300000. Its totient is φ = 8031744.

The previous prime is 21417031. The next prime is 21417089. The reversal of 21417080 is 8071412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21417089) 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, 42671 + ... + 43169.

Almost surely, 221417080 is an apocalyptic number.

21417080 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 21417080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25650000).

21417080 is an abundant number, since it is smaller than the sum of its proper divisors (29882920).

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

21417080 is a wasteful number, since it uses less digits than its factorization.

21417080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 23.

The square root of 21417080 is about 4627.8591162653. The cubic root of 21417080 is about 277.7069527284.

Adding to 21417080 its reverse (8071412), we get a palindrome (29488492).

The spelling of 21417080 in words is "twenty-one million, four hundred seventeen thousand, eighty".

Divisors: 1 2 4 5 8 10 20 29 37 40 58 74 116 145 148 185 232 290 296 370 499 580 740 998 1073 1160 1480 1996 2146 2495 3992 4292 4990 5365 8584 9980 10730 14471 18463 19960 21460 28942 36926 42920 57884 72355 73852 92315 115768 144710 147704 184630 289420 369260 535427 578840 738520 1070854 2141708 2677135 4283416 5354270 10708540 21417080