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31147440 = 2435233557
BaseRepresentation
bin111011011010…
…0010110110000
32011121110020220
41312310112300
530433204230
63031333040
7525514602
oct166642660
964543226
1031147440
1116644595
12a521180
1365b734c
1441cb172
152b03d10
hex1db45b0

31147440 has 80 divisors (see below), whose sum is σ = 97145568. Its totient is φ = 8255488.

The previous prime is 31147427. The next prime is 31147463. The reversal of 31147440 is 4474113.

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 31147440.

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 15 ways as a sum of consecutive naturals, for example, 55642 + ... + 56198.

Almost surely, 231147440 is an apocalyptic number.

31147440 is a gapful number since it is divisible by the number (30) 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 31147440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48572784).

31147440 is an abundant number, since it is smaller than the sum of its proper divisors (65998128).

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

31147440 is a wasteful number, since it uses less digits than its factorization.

31147440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 31147440 is about 5580.9891596383. The cubic root of 31147440 is about 314.6353048159.

The spelling of 31147440 in words is "thirty-one million, one hundred forty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 233 240 466 557 699 932 1114 1165 1398 1671 1864 2228 2330 2785 2796 3342 3495 3728 4456 4660 5570 5592 6684 6990 8355 8912 9320 11140 11184 13368 13980 16710 18640 22280 26736 27960 33420 44560 55920 66840 129781 133680 259562 389343 519124 648905 778686 1038248 1297810 1557372 1946715 2076496 2595620 3114744 3893430 5191240 6229488 7786860 10382480 15573720 31147440