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103196080 = 24513671481
BaseRepresentation
bin1100010011010…
…10010110110000
321012011220102001
412021222112300
5202404233310
614123503344
72362103131
oct611522660
9235156361
10103196080
1153284819
122a687b54
13184c2490
14d9c3c88
1590d693a
hex626a5b0

103196080 has 80 divisors (see below), whose sum is σ = 262420704. Its totient is φ = 37509120.

The previous prime is 103196063. The next prime is 103196089. The reversal of 103196080 is 80691301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (103196089) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68940 + ... + 70420.

Almost surely, 2103196080 is an apocalyptic number.

103196080 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 103196080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131210352).

103196080 is an abundant number, since it is smaller than the sum of its proper divisors (159224624).

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

103196080 is a wasteful number, since it uses less digits than its factorization.

103196080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1568 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 103196080 is about 10158.5471402165. The cubic root of 103196080 is about 469.0520807227.

The spelling of 103196080 in words is "one hundred three million, one hundred ninety-six thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 67 80 104 130 134 208 260 268 335 520 536 670 871 1040 1072 1340 1481 1742 2680 2962 3484 4355 5360 5924 6968 7405 8710 11848 13936 14810 17420 19253 23696 29620 34840 38506 59240 69680 77012 96265 99227 118480 154024 192530 198454 308048 385060 396908 496135 770120 793816 992270 1289951 1540240 1587632 1984540 2579902 3969080 5159804 6449755 7938160 10319608 12899510 20639216 25799020 51598040 103196080