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31134420 = 22325172969
BaseRepresentation
bin111011011000…
…1001011010100
32011120210101200
41312301023110
530432300140
63031152500
7525431622
oct166611324
964523350
1031134420
1116635829
12a515730
1365b1445
1441c6512
152b00030
hex1db12d4

31134420 has 36 divisors (see below), whose sum is σ = 94441620. Its totient is φ = 8302464.

The previous prime is 31134413. The next prime is 31134443. The reversal of 31134420 is 2443113.

It can be written as a sum of positive squares in 2 ways, for example, as 4384836 + 26749584 = 2094^2 + 5172^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31134393 and 31134402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 86305 + ... + 86664.

Almost surely, 231134420 is an apocalyptic number.

31134420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31134420 is an abundant number, since it is smaller than the sum of its proper divisors (63307200).

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

31134420 is a wasteful number, since it uses less digits than its factorization.

31134420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172984 (or 172979 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 31134420 is about 5579.8225778245. The cubic root of 31134420 is about 314.5914582739.

Adding to 31134420 its reverse (2443113), we get a palindrome (33577533).

It can be divided in two parts, 311344 and 20, that added together give a square (311364 = 5582).

The spelling of 31134420 in words is "thirty-one million, one hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 172969 345938 518907 691876 864845 1037814 1556721 1729690 2075628 2594535 3113442 3459380 5189070 6226884 7783605 10378140 15567210 31134420