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670055120 = 24576191933
BaseRepresentation
bin100111111100000…
…011101011010000
31201200211022211022
4213330003223100
52333013230440
6150253335012
722414242320
oct4774035320
91650738738
10670055120
11314257369
12168497468
13a8a86527
1464dc1280
153dc59cb5
hex27f03ad0

670055120 has 80 divisors (see below), whose sum is σ = 1784231040. Its totient is φ = 229243392.

The previous prime is 670055117. The next prime is 670055131. The reversal of 670055120 is 21550076.

670055120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 670055120.

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, 345674 + ... + 347606.

It is an arithmetic number, because the mean of its divisors is an integer number (22302888).

Almost surely, 2670055120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 670055120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892115520).

670055120 is an abundant number, since it is smaller than the sum of its proper divisors (1114175920).

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

670055120 is a wasteful number, since it uses less digits than its factorization.

670055120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2566 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 670055120 is about 25885.4229248819. The cubic root of 670055120 is about 875.0580075829.

The spelling of 670055120 in words is "six hundred seventy million, fifty-five thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 619 1238 1933 2476 3095 3866 4333 4952 6190 7732 8666 9665 9904 12380 13531 15464 17332 19330 21665 24760 27062 30928 34664 38660 43330 49520 54124 67655 69328 77320 86660 108248 135310 154640 173320 216496 270620 346640 541240 1082480 1196527 2393054 4786108 5982635 8375689 9572216 11965270 16751378 19144432 23930540 33502756 41878445 47861080 67005512 83756890 95722160 134011024 167513780 335027560 670055120