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113425680 = 24354111527
BaseRepresentation
bin1101100001010…
…11110100010000
321220102121210010
412300223310100
5213014110210
615131034520
72545050054
oct660536420
9256377703
10113425680
1159031435
1231b9ba40
131a6646b4
14110c7c64
159e57920
hex6c2bd10

113425680 has 80 divisors (see below), whose sum is σ = 360226944. Its totient is φ = 29506560.

The previous prime is 113425667. The next prime is 113425681. The reversal of 113425680 is 86524311.

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 (30).

It is not an unprimeable number, because it can be changed into a prime (113425681) 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, 4077 + ... + 15603.

Almost surely, 2113425680 is an apocalyptic number.

113425680 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 113425680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180113472).

113425680 is an abundant number, since it is smaller than the sum of its proper divisors (246801264).

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

113425680 is a wasteful number, since it uses less digits than its factorization.

113425680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11578 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 113425680 is about 10650.1492947282. The cubic root of 113425680 is about 484.0651279524.

Adding to 113425680 its reverse (86524311), we get a palindrome (199949991).

The spelling of 113425680 in words is "one hundred thirteen million, four hundred twenty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 11527 23054 34581 46108 57635 69162 92216 115270 138324 172905 184432 230540 276648 345810 461080 472607 553296 691620 922160 945214 1383240 1417821 1890428 2363035 2766480 2835642 3780856 4726070 5671284 7089105 7561712 9452140 11342568 14178210 18904280 22685136 28356420 37808560 56712840 113425680