Search a number
-
+
8053063680 = 22935
BaseRepresentation
bin1111000000000000…
…00000000000000000
3202210020021000120210
413200000000000000
5112443041014210
63411033034120
7403363624524
oct74000000000
922706230523
108053063680
113462820a32
121688b55940
139b4531b4c
1456575bd84
15321ecce20
hex1e0000000

8053063680 has 120 divisors (see below), whose sum is σ = 25769803752. Its totient is φ = 2147483648.

The previous prime is 8053063661. The next prime is 8053063699. The reversal of 8053063680 is 863603508.

It is a Jordan-Polya number, since it can be written as 5! ⋅ (2!)26.

It is an interprime number because it is at equal distance from previous prime (8053063661) and next prime (8053063699).

It is a tau number, because it is divible by the number of its divisors (120).

It is a nialpdrome in base 2 and base 8.

It is a zygodrome in base 2.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2560 × 1536 × 2048.

It is a congruent number.

It is an unprimeable number.

In principle, a polygon with 8053063680 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1610612734 + ... + 1610612738.

Almost surely, 28053063680 is an apocalyptic number.

8053063680 is a gapful number since it is divisible by the number (80) 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 8053063680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12884901876).

8053063680 is an abundant number, since it is smaller than the sum of its proper divisors (17716740072).

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

8053063680 is an frugal number, since it uses more digits than its factorization.

8053063680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 8053063680 is about 89738.8638216464. The cubic root of 8053063680 is about 2004.4122322785.

The spelling of 8053063680 in words is "eight billion, fifty-three million, sixty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1024 1280 1536 1920 2048 2560 3072 3840 4096 5120 6144 7680 8192 10240 12288 15360 16384 20480 24576 30720 32768 40960 49152 61440 65536 81920 98304 122880 131072 163840 196608 245760 262144 327680 393216 491520 524288 655360 786432 983040 1048576 1310720 1572864 1966080 2097152 2621440 3145728 3932160 4194304 5242880 6291456 7864320 8388608 10485760 12582912 15728640 16777216 20971520 25165824 31457280 33554432 41943040 50331648 62914560 67108864 83886080 100663296 125829120 134217728 167772160 201326592 251658240 268435456 335544320 402653184 503316480 536870912 671088640 805306368 1006632960 1342177280 1610612736 2013265920 2684354560 4026531840 8053063680