Search a number
-
+
2704666640 = 2451312832027
BaseRepresentation
bin1010000100110101…
…1111000000010000
320222111022022010112
42201031133000100
521014343313030
61124214220452
7124011200324
oct24115370020
96874268115
102704666640
111168794095
12635954728
1334145b880
141b92c9984
1510c6a7a95
hexa135f010

2704666640 has 80 divisors (see below), whose sum is σ = 6780691008. Its totient is φ = 997375488.

The previous prime is 2704666631. The next prime is 2704666651. The reversal of 2704666640 is 466664072.

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

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, 1333307 + ... + 1335333.

Almost surely, 22704666640 is an apocalyptic number.

2704666640 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 2704666640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3390345504).

2704666640 is an abundant number, since it is smaller than the sum of its proper divisors (4076024368).

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

2704666640 is a wasteful number, since it uses less digits than its factorization.

2704666640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3330 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 41.

The square root of 2704666640 is about 52006.4096049708. The cubic root of 2704666640 is about 1393.2784336684.

The spelling of 2704666640 in words is "two billion, seven hundred four million, six hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 1283 2027 2566 4054 5132 6415 8108 10135 10264 12830 16216 16679 20270 20528 25660 26351 32432 33358 40540 51320 52702 66716 81080 83395 102640 105404 131755 133432 162160 166790 210808 263510 266864 333580 421616 527020 667160 1054040 1334320 2108080 2600641 5201282 10402564 13003205 20805128 26006410 33808333 41610256 52012820 67616666 104025640 135233332 169041665 208051280 270466664 338083330 540933328 676166660 1352333320 2704666640