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1074702006 = 23674307
BaseRepresentation
bin100000000001110…
…1010011010110110
32202220020112000000
41000003222122312
54200110431011
6254350332130
735426550000
oct10003523266
92686215000
101074702006
11501706584
1225baba046
13141863c61
14a2a35370
156453a356
hex400ea6b6

1074702006 has 140 divisors (see below), whose sum is σ = 2828819532. Its totient is φ = 306057528.

The previous prime is 1074702001. The next prime is 1074702023. The reversal of 1074702006 is 6002074701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1074702001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 3500505 + ... + 3500811.

Almost surely, 21074702006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074702006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414409766).

1074702006 is an abundant number, since it is smaller than the sum of its proper divisors (1754117526).

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

1074702006 is an frugal number, since it uses more digits than its factorization.

1074702006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1074702006 is about 32782.6479406408. The cubic root of 1074702006 is about 1024.3051426987.

Adding to 1074702006 its reverse (6002074701), we get a palindrome (7076776707).

The spelling of 1074702006 in words is "one billion, seventy-four million, seven hundred two thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 307 343 378 441 486 567 614 686 729 882 921 1029 1134 1323 1458 1701 1842 2058 2149 2401 2646 2763 3087 3402 3969 4298 4802 5103 5526 6174 6447 7203 7938 8289 9261 10206 11907 12894 14406 15043 16578 18522 19341 21609 23814 24867 27783 30086 35721 38682 43218 45129 49734 55566 58023 64827 71442 74601 83349 90258 105301 116046 129654 135387 149202 166698 174069 194481 210602 223803 250047 270774 315903 348138 388962 406161 447606 500094 522207 583443 631806 737107 812322 947709 1044414 1166886 1218483 1474214 1566621 1750329 1895418 2211321 2436966 2843127 3133242 3500658 3655449 4422642 5686254 6633963 7310898 8529381 10966347 13267926 17058762 19901889 21932694 25588143 39803778 51176286 59705667 76764429 119411334 153528858 179117001 358234002 537351003 1074702006