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1197929680 = 24529516349
BaseRepresentation
bin100011101100110…
…1111010011010000
310002111010010120221
41013121233103100
54423132222210
6314511442424
741454143233
oct10731572320
93074103527
101197929680
11565222332
12295226414
1316124b03c
14b515141a
157027c1da
hex4766f4d0

1197929680 has 40 divisors (see below), whose sum is σ = 2881233000. Its totient is φ = 462647808.

The previous prime is 1197929671. The next prime is 1197929717. The reversal of 1197929680 is 869297911.

It can be written as a sum of positive squares in 4 ways, for example, as 235192896 + 962736784 = 15336^2 + 31028^2 .

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

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

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, 255855 + ... + 260494.

It is an arithmetic number, because the mean of its divisors is an integer number (72030825).

Almost surely, 21197929680 is an apocalyptic number.

1197929680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1197929680 is an abundant number, since it is smaller than the sum of its proper divisors (1683303320).

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

1197929680 is a wasteful number, since it uses less digits than its factorization.

1197929680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516391 (or 516385 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 52.

The square root of 1197929680 is about 34611.1207561963. The cubic root of 1197929680 is about 1062.0470942594.

The spelling of 1197929680 in words is "one billion, one hundred ninety-seven million, nine hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 516349 1032698 2065396 2581745 4130792 5163490 8261584 10326980 14974121 20653960 29948242 41307920 59896484 74870605 119792968 149741210 239585936 299482420 598964840 1197929680