Search a number
-
+
103942692 = 2232717191277
BaseRepresentation
bin1100011001000…
…00101000100100
321020120211120100
412030200220210
5203102131232
614151504100
72401332630
oct614405044
9236524510
10103942692
1153744757
122a988030
13186c4269
14db39dc0
1591d2c7c
hex6320a24

103942692 has 144 divisors (see below), whose sum is σ = 334938240. Its totient is φ = 26459136.

The previous prime is 103942691. The next prime is 103942693. The reversal of 103942692 is 296249301.

103942692 is a `hidden beast` number, since 1 + 0 + 394 + 269 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (103942691) and next prime (103942693).

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

It is not an unprimeable number, because it can be changed into a prime (103942691) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80758 + ... + 82034.

It is an arithmetic number, because the mean of its divisors is an integer number (2325960).

Almost surely, 2103942692 is an apocalyptic number.

103942692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103942692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167469120).

103942692 is an abundant number, since it is smaller than the sum of its proper divisors (230995548).

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

103942692 is a wasteful number, since it uses less digits than its factorization.

103942692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 103942692 is about 10195.2288841399. The cubic root of 103942692 is about 470.1805432834.

The spelling of 103942692 in words is "one hundred three million, nine hundred forty-two thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 19 21 28 34 36 38 42 51 57 63 68 76 84 102 114 119 126 133 153 171 204 228 238 252 266 306 323 342 357 399 476 532 612 646 684 714 798 969 1071 1197 1277 1292 1428 1596 1938 2142 2261 2394 2554 2907 3831 3876 4284 4522 4788 5108 5814 6783 7662 8939 9044 11493 11628 13566 15324 17878 20349 21709 22986 24263 26817 27132 35756 40698 43418 45972 48526 53634 65127 72789 80451 81396 86836 97052 107268 130254 145578 151963 160902 169841 195381 218367 260508 291156 303926 321804 339682 390762 412471 436734 455889 509523 607852 679364 781524 824942 873468 911778 1019046 1237413 1367667 1528569 1649884 1823556 2038092 2474826 2735334 2887297 3057138 3712239 4949652 5470668 5774594 6114276 7424478 8661891 11549188 14848956 17323782 25985673 34647564 51971346 103942692