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103400154 = 2321113172139
BaseRepresentation
bin1100010100111…
…00001011011010
321012120021100100
412022130023122
5202432301104
614132120230
72363613114
oct612341332
9235507310
10103400154
1153404080
122a766076
1318564330
14da383b4
159127139
hex629c2da

103400154 has 144 divisors (see below), whose sum is σ = 281604960. Its totient is φ = 27025920.

The previous prime is 103400153. The next prime is 103400161. The reversal of 103400154 is 451004301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103400153) 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 71 ways as a sum of consecutive naturals, for example, 743817 + ... + 743955.

It is an arithmetic number, because the mean of its divisors is an integer number (1955590).

Almost surely, 2103400154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103400154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140802480).

103400154 is an abundant number, since it is smaller than the sum of its proper divisors (178204806).

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

103400154 is a wasteful number, since it uses less digits than its factorization.

103400154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 103400154 is about 10168.5866274522. The cubic root of 103400154 is about 469.3610663162.

Adding to 103400154 its reverse (451004301), we get a palindrome (554404455).

The spelling of 103400154 in words is "one hundred three million, four hundred thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 11 13 17 18 22 26 33 34 39 51 66 78 99 102 117 139 143 153 187 198 221 234 278 286 289 306 374 417 429 442 561 578 663 834 858 867 1122 1251 1287 1326 1529 1683 1734 1807 1989 2363 2431 2502 2574 2601 3058 3179 3366 3614 3757 3978 4587 4726 4862 5202 5421 6358 7089 7293 7514 9174 9537 10842 11271 13761 14178 14586 16263 19074 19877 21267 21879 22542 25993 27522 28611 30719 32526 33813 39754 40171 41327 42534 43758 51986 57222 59631 61438 67626 77979 80342 82654 92157 119262 120513 123981 155958 178893 184314 233937 241026 247962 276471 337909 357786 361539 371943 441881 467874 522223 552942 675818 723078 743886 883762 1013727 1044446 1325643 1566669 2027454 2651286 3041181 3133338 3976929 4700007 5744453 6082362 7953858 9400014 11488906 17233359 34466718 51700077 103400154