Search a number
-
+
113640960 = 293514797
BaseRepresentation
bin1101100011000…
…00011000000000
321220211120002110
412301200120000
5213043002320
615135415320
72546634516
oct661403000
9256746073
10113640960
1159169154
1232084540
131a70b694
14111424b6
159e9b5e0
hex6c60600

113640960 has 80 divisors (see below), whose sum is σ = 363320496. Its totient is φ = 30302208.

The previous prime is 113640941. The next prime is 113640983. The reversal of 113640960 is 69046311.

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 a congruent number.

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, 282 + ... + 15078.

Almost surely, 2113640960 is an apocalyptic number.

113640960 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 113640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181660248).

113640960 is an abundant number, since it is smaller than the sum of its proper divisors (249679536).

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

113640960 is an equidigital number, since it uses as much as digits as its factorization.

113640960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14823 (or 14807 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 113640960 is about 10660.2514041649. The cubic root of 113640960 is about 484.3711835148.

The spelling of 113640960 in words is "one hundred thirteen million, six hundred forty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 14797 29594 44391 59188 73985 88782 118376 147970 177564 221955 236752 295940 355128 443910 473504 591880 710256 887820 947008 1183760 1420512 1775640 1894016 2367520 2841024 3551280 3788032 4735040 5682048 7102560 7576064 9470080 11364096 14205120 18940160 22728192 28410240 37880320 56820480 113640960