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103903956 = 223213535971
BaseRepresentation
bin1100011000101…
…11001011010100
321020111212102200
412030113023110
5203044411311
614151004500
72401111662
oct614271324
9236455380
10103903956
1153718642
122a969730
13186ac740
14db29c32
1591c6556
hex63172d4

103903956 has 144 divisors (see below), whose sum is σ = 297198720. Its totient is φ = 30401280.

The previous prime is 103903937. The next prime is 103903957. The reversal of 103903956 is 659309301.

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

It is a self number, because there is not a number n which added to its sum of digits gives 103903956.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103903957) 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 47 ways as a sum of consecutive naturals, for example, 1463401 + ... + 1463471.

It is an arithmetic number, because the mean of its divisors is an integer number (2063880).

Almost surely, 2103903956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103903956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148599360).

103903956 is an abundant number, since it is smaller than the sum of its proper divisors (193294764).

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

103903956 is a wasteful number, since it uses less digits than its factorization.

103903956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 103903956 is about 10193.3289949849. The cubic root of 103903956 is about 470.1221291192.

The spelling of 103903956 in words is "one hundred three million, nine hundred three thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 59 71 78 106 117 118 142 156 159 177 212 213 234 236 284 318 354 426 468 477 531 636 639 689 708 767 852 923 954 1062 1278 1378 1534 1846 1908 2067 2124 2301 2556 2756 2769 3068 3127 3692 3763 4134 4189 4602 5538 6201 6254 6903 7526 8268 8307 8378 9204 9381 11076 11289 12402 12508 12567 13806 15052 16614 16756 18762 22578 24804 25134 27612 28143 33228 33867 37524 37701 40651 45156 48919 50268 54457 56286 67734 75402 81302 97838 108914 112572 121953 135468 146757 150804 162604 163371 195676 217828 222017 243906 293514 326742 365859 440271 444034 487812 490113 587028 653484 666051 731718 880542 888068 980226 1332102 1463436 1761084 1960452 1998153 2664204 2886221 3996306 5772442 7992612 8658663 11544884 17317326 25975989 34634652 51951978 103903956