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396960102 = 2347113263
BaseRepresentation
bin10111101010010…
…010000101100110
31000122221122220000
4113222102011212
51303110210402
6103220122130
712560051040
oct2752220546
91018848800
10396960102
1119408a000
12b0b36346
1364318a46
143aa12a90
1524cb2c1c
hex17a92166

396960102 has 160 divisors (see below), whose sum is σ = 1122384384. Its totient is φ = 102714480.

The previous prime is 396960097. The next prime is 396960139. The reversal of 396960102 is 201069693.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1509223 + ... + 1509485.

Almost surely, 2396960102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 396960102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561192192).

396960102 is an abundant number, since it is smaller than the sum of its proper divisors (725424282).

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

396960102 is a wasteful number, since it uses less digits than its factorization.

396960102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 396960102 is about 19923.8576084051. The cubic root of 396960102 is about 734.9350379904.

The spelling of 396960102 in words is "three hundred ninety-six million, nine hundred sixty thousand, one hundred two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 263 297 363 378 462 526 567 594 693 726 789 847 891 1089 1134 1331 1386 1578 1694 1782 1841 2079 2178 2367 2541 2662 2893 3267 3682 3993 4158 4734 5082 5523 5786 6237 6534 7101 7623 7986 8679 9317 9801 11046 11979 12474 14202 15246 16569 17358 18634 19602 20251 21303 22869 23958 26037 27951 31823 33138 35937 40502 42606 45738 49707 52074 55902 60753 63646 68607 71874 78111 83853 95469 99414 107811 121506 137214 149121 156222 167706 182259 190938 215622 222761 234333 251559 286407 298242 350053 364518 445522 468666 503118 546777 572814 668283 700106 754677 859221 1050159 1093554 1336566 1509354 1640331 1718442 2004849 2100318 2450371 2577663 3150477 3280662 4009698 4900742 5155326 6014547 6300954 7351113 9451431 12029094 14702226 18043641 18902862 22053339 28354293 36087282 44106678 56708586 66160017 132320034 198480051 396960102