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1039940694 = 234131731937
BaseRepresentation
bin111101111111000…
…011110001010110
32200110211110110000
4331333003301112
54112211100234
6251105312130
734525231032
oct7577036126
92613743400
101039940694
11494023921
12250335646
131375b2a30
149c1871c2
1561470899
hex3dfc3c56

1039940694 has 160 divisors (see below), whose sum is σ = 2745743616. Its totient is φ = 291133440.

The previous prime is 1039940689. The next prime is 1039940773. The reversal of 1039940694 is 4960499301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1109394 + ... + 1110330.

Almost surely, 21039940694 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1039940694, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372871808).

1039940694 is an abundant number, since it is smaller than the sum of its proper divisors (1705802922).

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

1039940694 is a wasteful number, since it uses less digits than its factorization.

1039940694 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1039940694 is about 32248.1114795890. Note that the first 3 decimals coincide. The cubic root of 1039940694 is about 1013.1401449824.

The spelling of 1039940694 in words is "one billion, thirty-nine million, nine hundred forty thousand, six hundred ninety-four".

Divisors: 1 2 3 6 9 13 17 18 26 27 31 34 39 51 54 62 78 81 93 102 117 153 162 186 221 234 279 306 351 403 442 459 527 558 663 702 806 837 918 937 1053 1054 1209 1326 1377 1581 1674 1874 1989 2106 2418 2511 2754 2811 3162 3627 3978 4743 5022 5622 5967 6851 7254 8433 9486 10881 11934 12181 13702 14229 15929 16866 17901 20553 21762 24362 25299 28458 29047 31858 32643 35802 36543 41106 42687 47787 50598 58094 61659 65286 73086 75897 85374 87141 95574 109629 123318 143361 151794 174282 184977 207077 219258 261423 286722 328887 369954 377611 414154 430083 493799 522846 554931 621231 657774 755222 784269 860166 986661 987598 1109862 1132833 1242462 1290249 1481397 1568538 1863693 1973322 2265666 2352807 2580498 2962794 3398499 3727386 4444191 4705614 5591079 6419387 6796998 8888382 10195497 11182158 12838774 13332573 16773237 19258161 20390994 26665146 30586491 33546474 38516322 39997719 57774483 61172982 79995438 115548966 173323449 346646898 519970347 1039940694