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103104320 = 26511171723
BaseRepresentation
bin1100010010100…
…11111101000000
321012000020112112
412021103331000
5202343314240
614121514452
72361241454
oct611237500
9235006475
10103104320
1153221890
122a642a28
131848c797
14d99c664
1590b9665
hex6253f40

103104320 has 112 divisors (see below), whose sum is σ = 283756608. Its totient is φ = 35266560.

The previous prime is 103104301. The next prime is 103104341. The reversal of 103104320 is 23401301.

It is a junction number, because it is equal to n+sod(n) for n = 103104295 and 103104304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58979 + ... + 60701.

Almost surely, 2103104320 is an apocalyptic number.

103104320 is a gapful number since it is divisible by the number (10) 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 103104320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141878304).

103104320 is an abundant number, since it is smaller than the sum of its proper divisors (180652288).

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

103104320 is a wasteful number, since it uses less digits than its factorization.

103104320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 103104320 is about 10154.0297419300. The cubic root of 103104320 is about 468.9130154207.

Adding to 103104320 its reverse (23401301), we get a palindrome (126505621).

The spelling of 103104320 in words is "one hundred three million, one hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 64 68 80 85 88 110 136 160 170 176 187 220 272 320 340 352 374 440 544 680 704 748 880 935 1088 1360 1496 1723 1760 1870 2720 2992 3446 3520 3740 5440 5984 6892 7480 8615 11968 13784 14960 17230 18953 27568 29291 29920 34460 37906 55136 58582 59840 68920 75812 94765 110272 117164 137840 146455 151624 189530 234328 275680 292910 303248 322201 379060 468656 551360 585820 606496 644402 758120 937312 1171640 1212992 1288804 1516240 1611005 1874624 2343280 2577608 3032480 3222010 4686560 5155216 6064960 6444020 9373120 10310432 12888040 20620864 25776080 51552160 103104320