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3998720 = 21051171
BaseRepresentation
bin1111010000010000000000
321112011012202
433100100000
52010424340
6221412332
745663035
oct17202000
97464182
103998720
112291330
12140a0a8
13aa010b
1476138c
1553ec15
hex3d0400

3998720 has 88 divisors (see below), whose sum is σ = 10611648. Its totient is φ = 1433600.

The previous prime is 3998719. The next prime is 3998737. The reversal of 3998720 is 278993.

It is a tau number, because it is divible by the number of its divisors (88).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56285 + ... + 56355.

Almost surely, 23998720 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 3998720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5305824).

3998720 is an abundant number, since it is smaller than the sum of its proper divisors (6612928).

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

3998720 is a wasteful number, since it uses less digits than its factorization.

3998720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 3998720 is about 1999.6799743959. The cubic root of 3998720 is about 158.7231711125.

It can be divided in two parts, 399 and 8720, that added together give a palindrome (9119).

The spelling of 3998720 in words is "three million, nine hundred ninety-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 71 80 88 110 128 142 160 176 220 256 284 320 352 355 440 512 568 640 704 710 781 880 1024 1136 1280 1408 1420 1562 1760 2272 2560 2816 2840 3124 3520 3905 4544 5120 5632 5680 6248 7040 7810 9088 11264 11360 12496 14080 15620 18176 22720 24992 28160 31240 36352 45440 49984 56320 62480 72704 90880 99968 124960 181760 199936 249920 363520 399872 499840 799744 999680 1999360 3998720