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1248089680 = 24517917713
BaseRepresentation
bin100101001100100…
…0101011001010000
310012222111112011201
41022121011121100
510024002332210
6323502520544
742633405265
oct11231053120
93188445151
101248089680
11590572282
122a9b96154
1316b761206
14bba8b26c
157488953a
hex4a645650

1248089680 has 40 divisors (see below), whose sum is σ = 3072506472. Its totient is φ = 469868544.

The previous prime is 1248089677. The next prime is 1248089699. The reversal of 1248089680 is 869808421.

It can be written as a sum of positive squares in 4 ways, for example, as 35378704 + 1212710976 = 5948^2 + 34824^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1248089680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 457497 + ... + 460216.

Almost surely, 21248089680 is an apocalyptic number.

1248089680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1248089680 is an abundant number, since it is smaller than the sum of its proper divisors (1824416792).

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

1248089680 is a wasteful number, since it uses less digits than its factorization.

1248089680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917743 (or 917737 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 46.

The square root of 1248089680 is about 35328.3127250651. The cubic root of 1248089680 is about 1076.6683106089.

The spelling of 1248089680 in words is "one billion, two hundred forty-eight million, eighty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 917713 1835426 3670852 4588565 7341704 9177130 14683408 15601121 18354260 31202242 36708520 62404484 73417040 78005605 124808968 156011210 249617936 312022420 624044840 1248089680