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103295680 = 2652911131
BaseRepresentation
bin1100010100000…
…10101011000000
321012100222000221
412022002223000
5202420430210
614125552424
72362666405
oct612025300
9235328027
10103295680
1153342634
122a715714
1318528907
14da0c2ac
1591061da
hex6282ac0

103295680 has 56 divisors (see below), whose sum is σ = 254477520. Its totient is φ = 39889920.

The previous prime is 103295677. The next prime is 103295701. The reversal of 103295680 is 86592301.

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, 3715 + ... + 14845.

Almost surely, 2103295680 is an apocalyptic number.

103295680 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 103295680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127238760).

103295680 is an abundant number, since it is smaller than the sum of its proper divisors (151181840).

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

103295680 is a wasteful number, since it uses less digits than its factorization.

103295680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11177 (or 11167 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 103295680 is about 10163.4482337443. The cubic root of 103295680 is about 469.2029345323.

The spelling of 103295680 in words is "one hundred three million, two hundred ninety-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 11131 22262 44524 55655 89048 111310 178096 222620 322799 356192 445240 645598 712384 890480 1291196 1613995 1780960 2582392 3227990 3561920 5164784 6455980 10329568 12911960 20659136 25823920 51647840 103295680