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670153856 = 2741277461
BaseRepresentation
bin100111111100011…
…011110010000000
31201201000100021012
4213330123302000
52333024410411
6150255420052
722415133221
oct4774336200
91651010235
10670153856
11314314569
12168524628
13a8abc458
1465009248
153dc7918b
hex27f1bc80

670153856 has 64 divisors (see below), whose sum is σ = 1375549560. Its totient is φ = 325017600.

The previous prime is 670153831. The next prime is 670153859. The reversal of 670153856 is 658351076.

670153856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 229825600 + 440328256 = 15160^2 + 20984^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (670153859) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1453466 + ... + 1453926.

Almost surely, 2670153856 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 670153856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687774780).

670153856 is an abundant number, since it is smaller than the sum of its proper divisors (705395704).

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

670153856 is a wasteful number, since it uses less digits than its factorization.

670153856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 793 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 670153856 is about 25887.3300284135. The cubic root of 670153856 is about 875.1009868749.

The spelling of 670153856 in words is "six hundred seventy million, one hundred fifty-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 277 328 461 554 656 922 1108 1312 1844 2216 2624 3688 4432 5248 7376 8864 11357 14752 17728 18901 22714 29504 35456 37802 45428 59008 75604 90856 127697 151208 181712 255394 302416 363424 510788 604832 726848 1021576 1209664 1453696 2043152 2419328 4086304 5235577 8172608 10471154 16345216 20942308 41884616 83769232 167538464 335076928 670153856