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1052077680 = 24335487073
BaseRepresentation
bin111110101101010…
…110111001110000
32201022200002021000
4332231112321300
54123312441210
6252221402000
735033340603
oct7655267160
92638602230
101052077680
1149a963595
12254409300
13139c72194
149da2633a
156256bac0
hex3eb56e70

1052077680 has 80 divisors (see below), whose sum is σ = 3623830560. Its totient is φ = 280553472.

The previous prime is 1052077673. The next prime is 1052077699. The reversal of 1052077680 is 867702501.

1052077680 is a `hidden beast` number, since 1 + 0 + 520 + 77 + 68 + 0 = 666.

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

It is a super-2 number, since 2×10520776802 = 2213734889508364800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 241377 + ... + 245696.

It is an arithmetic number, because the mean of its divisors is an integer number (45297882).

Almost surely, 21052077680 is an apocalyptic number.

1052077680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052077680 is an abundant number, since it is smaller than the sum of its proper divisors (2571752880).

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

1052077680 is a wasteful number, since it uses less digits than its factorization.

1052077680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487095 (or 487083 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1052077680 is about 32435.7469468486. The cubic root of 1052077680 is about 1017.0663107971.

The spelling of 1052077680 in words is "one billion, fifty-two million, seventy-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 487073 974146 1461219 1948292 2435365 2922438 3896584 4383657 4870730 5844876 7306095 7793168 8767314 9741460 11689752 13150971 14612190 17534628 19482920 21918285 23379504 26301942 29224380 35069256 38965840 43836570 52603884 58448760 65754855 70138512 87673140 105207768 116897520 131509710 175346280 210415536 263019420 350692560 526038840 1052077680