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670647648 = 253111733671
BaseRepresentation
bin100111111110010…
…100010101100000
31201201221102121210
4213332110111200
52333141211043
6150314150120
722422260646
oct4776242540
91651842553
10670647648
11314621560
12168722340
13a8c33138
14650d7196
153dd25633
hex27f94560

670647648 has 96 divisors (see below), whose sum is σ = 1932118272. Its totient is φ = 201996800.

The previous prime is 670647643. The next prime is 670647661. The reversal of 670647648 is 846746076.

It is a happy number.

670647648 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 (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 670647597 and 670647606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (670647643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 180853 + ... + 184523.

It is an arithmetic number, because the mean of its divisors is an integer number (20126232).

Almost surely, 2670647648 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 670647648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966059136).

670647648 is an abundant number, since it is smaller than the sum of its proper divisors (1261470624).

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

670647648 is a wasteful number, since it uses less digits than its factorization.

670647648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3868 (or 3860 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 670647648 is about 25896.8656018446. The cubic root of 670647648 is about 875.3158687626.

The spelling of 670647648 in words is "six hundred seventy million, six hundred forty-seven thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 173 176 264 346 352 519 528 692 1038 1056 1384 1903 2076 2768 3671 3806 4152 5536 5709 7342 7612 8304 11013 11418 14684 15224 16608 22026 22836 29368 30448 40381 44052 45672 58736 60896 80762 88104 91344 117472 121143 161524 176208 182688 242286 323048 352416 484572 635083 646096 969144 1270166 1292192 1905249 1938288 2540332 3810498 3876576 5080664 6985913 7620996 10161328 13971826 15241992 20322656 20957739 27943652 30483984 41915478 55887304 60967968 83830956 111774608 167661912 223549216 335323824 670647648