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4966080 = 26357739
BaseRepresentation
bin10010111100011011000000
3100100022011220
4102330123000
52232403310
6254235040
760132240
oct22743300
910308156
104966080
1128920a9
1217b5a80
13104b512
14933b20
15681670
hex4bc6c0

4966080 has 112 divisors (see below), whose sum is σ = 18044160. Its totient is φ = 1133568.

The previous prime is 4966061. The next prime is 4966099. The reversal of 4966080 is 806694.

It is an interprime number because it is at equal distance from previous prime (4966061) and next prime (4966099).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6351 + ... + 7089.

Almost surely, 24966080 is an apocalyptic number.

4966080 is a gapful number since it is divisible by the number (40) 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 4966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9022080).

4966080 is an abundant number, since it is smaller than the sum of its proper divisors (13078080).

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

4966080 is a wasteful number, since it uses less digits than its factorization.

4966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 766 (or 756 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 4966080 is about 2228.4703273771. The cubic root of 4966080 is about 170.6100343782.

The spelling of 4966080 in words is "four million, nine hundred sixty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 739 840 960 1120 1344 1478 1680 2217 2240 2956 3360 3695 4434 5173 5912 6720 7390 8868 10346 11085 11824 14780 15519 17736 20692 22170 23648 25865 29560 31038 35472 41384 44340 47296 51730 59120 62076 70944 77595 82768 88680 103460 118240 124152 141888 155190 165536 177360 206920 236480 248304 310380 331072 354720 413840 496608 620760 709440 827680 993216 1241520 1655360 2483040 4966080