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113432424 = 23375231291
BaseRepresentation
bin1101100001011…
…01011101101000
321220102222000220
412300231131220
5213014314144
615131130040
72545105530
oct660553550
9256388026
10113432424
1159036506
1231ba3920
131a6677a1
14110ca4c0
159e59919
hex6c2d768

113432424 has 64 divisors (see below), whose sum is σ = 324963840. Its totient is φ = 32322240.

The previous prime is 113432419. The next prime is 113432443. The reversal of 113432424 is 424234311.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 113432394 and 113432403.

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, 87219 + ... + 88509.

It is an arithmetic number, because the mean of its divisors is an integer number (5077560).

Almost surely, 2113432424 is an apocalyptic number.

113432424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

113432424 is an abundant number, since it is smaller than the sum of its proper divisors (211531416).

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

113432424 is a wasteful number, since it uses less digits than its factorization.

113432424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1830 (or 1826 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 113432424 is about 10650.4659053020. The cubic root of 113432424 is about 484.0747215192.

Adding to 113432424 its reverse (424234311), we get a palindrome (537666735).

The spelling of 113432424 in words is "one hundred thirteen million, four hundred thirty-two thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 523 1046 1291 1569 2092 2582 3138 3661 3873 4184 5164 6276 7322 7746 9037 10328 10983 12552 14644 15492 18074 21966 27111 29288 30984 36148 43932 54222 72296 87864 108444 216888 675193 1350386 2025579 2700772 4051158 4726351 5401544 8102316 9452702 14179053 16204632 18905404 28358106 37810808 56716212 113432424