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21479920 = 2457112317
BaseRepresentation
bin101000111110…
…0000111110000
31111102021220121
41101330013300
520444324140
62044220024
7350401450
oct121740760
944367817
1021479920
1111141200
12723a614
1345b0c17
142bd1d60
151d4464a
hex147c1f0

21479920 has 120 divisors (see below), whose sum is σ = 62933472. Its totient is φ = 6673920.

The previous prime is 21479917. The next prime is 21479957. The reversal of 21479920 is 2997412.

It is a happy number.

It is a super-2 number, since 2×214799202 = 922773926412800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67602 + ... + 67918.

Almost surely, 221479920 is an apocalyptic number.

21479920 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 21479920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31466736).

21479920 is an abundant number, since it is smaller than the sum of its proper divisors (41453552).

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

21479920 is a wasteful number, since it uses less digits than its factorization.

21479920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 21479920 is about 4634.6434598575. The cubic root of 21479920 is about 277.9782948049.

The spelling of 21479920 in words is "twenty-one million, four hundred seventy-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 121 140 154 176 220 242 280 308 317 385 440 484 560 605 616 634 770 847 880 968 1210 1232 1268 1540 1585 1694 1936 2219 2420 2536 3080 3170 3388 3487 4235 4438 4840 5072 6160 6340 6776 6974 8470 8876 9680 11095 12680 13552 13948 16940 17435 17752 22190 24409 25360 27896 33880 34870 35504 38357 44380 48818 55792 67760 69740 76714 88760 97636 122045 139480 153428 177520 191785 195272 244090 268499 278960 306856 383570 390544 488180 536998 613712 767140 976360 1073996 1342495 1534280 1952720 2147992 2684990 3068560 4295984 5369980 10739960 21479920