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21417408 = 2632192103
BaseRepresentation
bin101000110110…
…0110111000000
31111022010011100
41101230313000
520440324113
62043014400
7350021265
oct121546700
944263140
1021417408
11110a9241
12720a400
13458b62c
142bb726c
151d30d73
hex146cdc0

21417408 has 126 divisors (see below), whose sum is σ = 65419224. Its totient is φ = 6697728.

The previous prime is 21417377. The next prime is 21417437. The reversal of 21417408 is 80471412.

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 207885 + ... + 207987.

Almost surely, 221417408 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 21417408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32709612).

21417408 is an abundant number, since it is smaller than the sum of its proper divisors (44001816).

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

21417408 is a wasteful number, since it uses less digits than its factorization.

21417408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21417408 is about 4627.8945536821. The cubic root of 21417408 is about 277.7083704040.

The spelling of 21417408 in words is "twenty-one million, four hundred seventeen thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 103 114 144 152 171 192 206 228 288 304 309 342 361 412 456 576 608 618 684 722 824 912 927 1083 1216 1236 1368 1444 1648 1824 1854 1957 2166 2472 2736 2888 3249 3296 3648 3708 3914 4332 4944 5472 5776 5871 6498 6592 7416 7828 8664 9888 10944 11552 11742 12996 14832 15656 17328 17613 19776 23104 23484 25992 29664 31312 34656 35226 37183 46968 51984 59328 62624 69312 70452 74366 93936 103968 111549 125248 140904 148732 187872 207936 223098 281808 297464 334647 375744 446196 563616 594928 669294 892392 1127232 1189856 1338588 1784784 2379712 2677176 3569568 5354352 7139136 10708704 21417408