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103919436 = 22351719331
BaseRepresentation
bin1100011000110…
…10111101001100
321020112122200000
412030122331030
5203100410221
614151204300
72401205055
oct614327514
9236478600
10103919436
1153729235
122a976690
13186b67ba
14db3172c
1591cae26
hex631af4c

103919436 has 144 divisors (see below), whose sum is σ = 304536960. Its totient is φ = 30792960.

The previous prime is 103919429. The next prime is 103919437. The reversal of 103919436 is 634919301.

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 103919436.

It is not an unprimeable number, because it can be changed into a prime (103919437) 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, 313791 + ... + 314121.

It is an arithmetic number, because the mean of its divisors is an integer number (2114840).

Almost surely, 2103919436 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 103919436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152268480).

103919436 is an abundant number, since it is smaller than the sum of its proper divisors (200617524).

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

103919436 is a wasteful number, since it uses less digits than its factorization.

103919436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

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

The square root of 103919436 is about 10194.0882868455. The cubic root of 103919436 is about 470.1454748109.

The spelling of 103919436 in words is "one hundred three million, nine hundred nineteen thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 19 27 34 36 38 51 54 57 68 76 81 102 108 114 153 162 171 204 228 243 306 323 324 331 342 459 486 513 612 646 662 684 918 969 972 993 1026 1292 1324 1377 1539 1836 1938 1986 2052 2754 2907 2979 3078 3876 3972 4131 4617 5508 5627 5814 5958 6156 6289 8262 8721 8937 9234 11254 11628 11916 12578 16524 16881 17442 17874 18468 18867 22508 25156 26163 26811 33762 34884 35748 37734 50643 52326 53622 56601 67524 75468 78489 80433 101286 104652 106913 107244 113202 151929 156978 160866 169803 202572 213826 226404 303858 313956 320739 321732 339606 427652 455787 509409 607716 641478 679212 911574 962217 1018818 1282956 1367361 1528227 1823148 1924434 2037636 2734722 2886651 3056454 3848868 5469444 5773302 6112908 8659953 11546604 17319906 25979859 34639812 51959718 103919436