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670505136 = 243719127827
BaseRepresentation
bin100111111101110…
…001100010110000
31201201200012010120
4213331301202300
52333122131021
6150311130240
722421125320
oct4775614260
91651605116
10670505136
11314534484
12168673980
13a8bb3302
146509b280
153dce82c6
hex27f718b0

670505136 has 160 divisors (see below), whose sum is σ = 2102722560. Its totient is φ = 179843328.

The previous prime is 670505123. The next prime is 670505141. The reversal of 670505136 is 631505076.

It is a junction number, because it is equal to n+sod(n) for n = 670505097 and 670505106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 810355 + ... + 811181.

It is an arithmetic number, because the mean of its divisors is an integer number (13142016).

Almost surely, 2670505136 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 670505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051361280).

670505136 is an abundant number, since it is smaller than the sum of its proper divisors (1432217424).

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

670505136 is a wasteful number, since it uses less digits than its factorization.

670505136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 33.

The square root of 670505136 is about 25894.1139257554. The cubic root of 670505136 is about 875.2538631017.

The spelling of 670505136 in words is "six hundred seventy million, five hundred five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 127 133 152 168 228 254 266 304 336 381 399 456 508 532 762 798 827 889 912 1016 1064 1524 1596 1654 1778 2032 2128 2413 2481 2667 3048 3192 3308 3556 4826 4962 5334 5789 6096 6384 6616 7112 7239 9652 9924 10668 11578 13232 14224 14478 15713 16891 17367 19304 19848 21336 23156 28956 31426 33782 34734 38608 39696 42672 46312 47139 50673 57912 62852 67564 69468 92624 94278 101346 105029 109991 115824 125704 135128 138936 188556 202692 210058 219982 251408 270256 277872 315087 329973 377112 405384 420116 439964 630174 659946 735203 754224 810768 840232 879928 1260348 1319892 1470406 1680464 1759856 1995551 2205609 2520696 2639784 2940812 3991102 4411218 5041392 5279568 5881624 5986653 7982204 8822436 11763248 11973306 13968857 15964408 17644872 23946612 27937714 31928816 35289744 41906571 47893224 55875428 83813142 95786448 111750856 167626284 223501712 335252568 670505136