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103096320 = 21335839
BaseRepresentation
bin1100010010100…
…10000000000000
321011222211120020
412021102000000
5202343040240
614121413440
72361206235
oct611220000
9234884506
10103096320
1153216878
122a63a280
1318488c52
14d99978c
1590b70d0
hex6252000

103096320 has 112 divisors (see below), whose sum is σ = 330281280. Its totient is φ = 27459584.

The previous prime is 103096291. The next prime is 103096339. The reversal of 103096320 is 23690301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 122461 + ... + 123299.

It is an arithmetic number, because the mean of its divisors is an integer number (2948940).

Almost surely, 2103096320 is an apocalyptic number.

103096320 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 103096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165140640).

103096320 is an abundant number, since it is smaller than the sum of its proper divisors (227184960).

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

103096320 is an frugal number, since it uses more digits than its factorization.

103096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

The square root of 103096320 is about 10153.6358020169. The cubic root of 103096320 is about 468.9008872475.

The spelling of 103096320 in words is "one hundred three million, ninety-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 839 960 1024 1280 1536 1678 1920 2048 2517 2560 3072 3356 3840 4096 4195 5034 5120 6144 6712 7680 8192 8390 10068 10240 12288 12585 13424 15360 16780 20136 20480 24576 25170 26848 30720 33560 40272 40960 50340 53696 61440 67120 80544 100680 107392 122880 134240 161088 201360 214784 268480 322176 402720 429568 536960 644352 805440 859136 1073920 1288704 1610880 1718272 2147840 2577408 3221760 3436544 4295680 5154816 6443520 6873088 8591360 10309632 12887040 17182720 20619264 25774080 34365440 51548160 103096320