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985667072 = 29131731281
BaseRepresentation
bin111010110000000…
…001011000000000
32112200201002000212
4322300001120000
54004312321242
6241450133252
733266013635
oct7260013000
92480632025
10985667072
11466424295
12236121228
1312928c370
1494c9a18c
155b7ee782
hex3ac01600

985667072 has 160 divisors (see below), whose sum is σ = 2326351104. Its totient is φ = 412876800.

The previous prime is 985667071. The next prime is 985667077. The reversal of 985667072 is 270766589.

It is a self number, because there is not a number n which added to its sum of digits gives 985667072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (985667071) 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, 3507572 + ... + 3507852.

Almost surely, 2985667072 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 985667072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1163175552).

985667072 is an abundant number, since it is smaller than the sum of its proper divisors (1340684032).

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

985667072 is a wasteful number, since it uses less digits than its factorization.

985667072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 50.

The square root of 985667072 is about 31395.3351948980. The cubic root of 985667072 is about 995.1993479523.

The spelling of 985667072 in words is "nine hundred eighty-five million, six hundred sixty-seven thousand, seventy-two".

Divisors: 1 2 4 8 13 16 17 26 31 32 34 52 62 64 68 104 124 128 136 208 221 248 256 272 281 403 416 442 496 512 527 544 562 806 832 884 992 1054 1088 1124 1612 1664 1768 1984 2108 2176 2248 3224 3328 3536 3653 3968 4216 4352 4496 4777 6448 6656 6851 7072 7306 7936 8432 8704 8711 8992 9554 12896 13702 14144 14612 15872 16864 17422 17984 19108 25792 27404 28288 29224 33728 34844 35968 38216 51584 54808 56576 58448 62101 67456 69688 71936 76432 103168 109616 113152 113243 116896 124202 134912 139376 143872 148087 152864 206336 219232 226486 233792 248404 269824 278752 296174 305728 438464 452972 467584 496808 557504 592348 611456 876928 905944 935168 993616 1115008 1184696 1222912 1753856 1811888 1870336 1925131 1987232 2230016 2369392 2445824 3507712 3623776 3850262 3974464 4460032 4738784 7247552 7700524 7948928 9477568 14495104 15401048 15897856 18955136 28990208 30802096 31795712 37910272 57980416 61604192 75820544 123208384 246416768 492833536 985667072