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670403952 = 2435269641
BaseRepresentation
bin100111111101011…
…000110101110000
31201201111001100000
4213331120311300
52333110411302
6150305030000
722420224321
oct4775306560
91651431300
10670403952
11314475459
12168625300
13a8b7923a
1465072448
153dcc831c
hex27f58d70

670403952 has 120 divisors (see below), whose sum is σ = 1955968560. Its totient is φ = 222289920.

The previous prime is 670403879. The next prime is 670403971. The reversal of 670403952 is 259304076.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1045552 + ... + 1046192.

It is an arithmetic number, because the mean of its divisors is an integer number (16299738).

Almost surely, 2670403952 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 670403952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (977984280).

670403952 is an abundant number, since it is smaller than the sum of its proper divisors (1285564608).

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

670403952 is a wasteful number, since it uses less digits than its factorization.

670403952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 670403952 is about 25892.1600489415. The cubic root of 670403952 is about 875.2098335398.

The spelling of 670403952 in words is "six hundred seventy million, four hundred three thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 269 324 432 486 538 641 648 807 972 1076 1282 1296 1614 1923 1944 2152 2421 2564 3228 3846 3888 4304 4842 5128 5769 6456 7263 7692 9684 10256 11538 12912 14526 15384 17307 19368 21789 23076 29052 30768 34614 38736 43578 46152 51921 58104 65367 69228 87156 92304 103842 116208 130734 138456 155763 172429 174312 207684 261468 276912 311526 344858 348624 415368 517287 522936 623052 689716 830736 1034574 1045872 1246104 1379432 1551861 2069148 2492208 2758864 3103722 4138296 4655583 6207444 8276592 9311166 12414888 13966749 18622332 24829776 27933498 37244664 41900247 55866996 74489328 83800494 111733992 167600988 223467984 335201976 670403952