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103480720 = 2457414507
BaseRepresentation
bin1100010101011…
…11110110010000
321012201100212021
412022233312100
5202442340340
614133541224
72364400030
oct612576620
9235640767
10103480720
1153459662
122a7a4814
1318591bc5
14da598c0
159140e4a
hex62afd90

103480720 has 80 divisors (see below), whose sum is σ = 281731968. Its totient is φ = 34606080.

The previous prime is 103480711. The next prime is 103480723. The reversal of 103480720 is 27084301.

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 (103480723) 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, 20707 + ... + 25213.

Almost surely, 2103480720 is an apocalyptic number.

103480720 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 103480720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140865984).

103480720 is an abundant number, since it is smaller than the sum of its proper divisors (178251248).

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

103480720 is a wasteful number, since it uses less digits than its factorization.

103480720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4568 (or 4562 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 103480720 is about 10172.5473702510. The cubic root of 103480720 is about 469.4829382386.

The spelling of 103480720 in words is "one hundred three million, four hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 56 70 80 82 112 140 164 205 280 287 328 410 560 574 656 820 1148 1435 1640 2296 2870 3280 4507 4592 5740 9014 11480 18028 22535 22960 31549 36056 45070 63098 72112 90140 126196 157745 180280 184787 252392 315490 360560 369574 504784 630980 739148 923935 1261960 1293509 1478296 1847870 2523920 2587018 2956592 3695740 5174036 6467545 7391480 10348072 12935090 14782960 20696144 25870180 51740360 103480720