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113214480 = 24353115217
BaseRepresentation
bin1101011111110…
…00010000010000
321220000220001220
412233320100100
5212440330410
615122325040
72543210241
oct657702020
9256026056
10113214480
11589a7795
1231ab9780
131a5bc522
1411070cc8
159e15070
hex6bf8410

113214480 has 80 divisors (see below), whose sum is σ = 362310144. Its totient is φ = 29214720.

The previous prime is 113214473. The next prime is 113214503. The reversal of 113214480 is 84412311.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 113214480.

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, 169 + ... + 15048.

Almost surely, 2113214480 is an apocalyptic number.

113214480 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 113214480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181155072).

113214480 is an abundant number, since it is smaller than the sum of its proper divisors (249095664).

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

113214480 is a wasteful number, since it uses less digits than its factorization.

113214480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15264 (or 15258 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 113214480 is about 10640.2293208370. The cubic root of 113214480 is about 483.7644962238.

Adding to 113214480 its reverse (84412311), we get a palindrome (197626791).

The spelling of 113214480 in words is "one hundred thirteen million, two hundred fourteen thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 15217 30434 45651 60868 76085 91302 121736 152170 182604 228255 243472 304340 365208 456510 471727 608680 730416 913020 943454 1217360 1415181 1826040 1886908 2358635 2830362 3652080 3773816 4717270 5660724 7075905 7547632 9434540 11321448 14151810 18869080 22642896 28303620 37738160 56607240 113214480