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4666480 = 245713641
BaseRepresentation
bin10001110011010001110000
322210002012121
4101303101300
52143311410
6244004024
754443620
oct21632160
98702177
104666480
1126a7aa5
121690614
13c75040
14896880
156229da
hex473470

4666480 has 80 divisors (see below), whose sum is σ = 13374144. Its totient is φ = 1474560.

The previous prime is 4666471. The next prime is 4666499. The reversal of 4666480 is 846664.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 6960 + ... + 7600.

Almost surely, 24666480 is an apocalyptic number.

4666480 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 4666480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6687072).

4666480 is an abundant number, since it is smaller than the sum of its proper divisors (8707664).

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

4666480 is a wasteful number, since it uses less digits than its factorization.

4666480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4666480 is about 2160.2036940992. The cubic root of 4666480 is about 167.1077030034.

The spelling of 4666480 in words is "four million, six hundred sixty-six thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 641 728 910 1040 1282 1456 1820 2564 3205 3640 4487 5128 6410 7280 8333 8974 10256 12820 16666 17948 22435 25640 33332 35896 41665 44870 51280 58331 66664 71792 83330 89740 116662 133328 166660 179480 233324 291655 333320 358960 466648 583310 666640 933296 1166620 2333240 4666480