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31995054 = 23371317383
BaseRepresentation
bin111101000001…
…1010010101110
32020012111222000
41322003102232
531142320204
63101433130
7535645020
oct172032256
966174860
1031995054
11170733a3
12a86b7a6
1368230b0
14436c010
152c20039
hex1e834ae

31995054 has 128 divisors (see below), whose sum is σ = 92897280. Its totient is φ = 7921152.

The previous prime is 31995017. The next prime is 31995059. The reversal of 31995054 is 45059913.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31995059) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 83347 + ... + 83729.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 231995054 is an apocalyptic number.

31995054 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31995054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46448640).

31995054 is an abundant number, since it is smaller than the sum of its proper divisors (60902226).

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

31995054 is a wasteful number, since it uses less digits than its factorization.

31995054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 31995054 is about 5656.4170638311. The cubic root of 31995054 is about 317.4638527058.

The spelling of 31995054 in words is "thirty-one million, nine hundred ninety-five thousand, fifty-four".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 153 182 189 221 234 238 273 306 351 357 378 383 442 459 546 663 702 714 766 819 918 1071 1149 1326 1547 1638 1989 2142 2298 2457 2681 3094 3213 3447 3978 4641 4914 4979 5362 5967 6426 6511 6894 8043 9282 9958 10341 11934 13022 13923 14937 16086 19533 20682 24129 27846 29874 34853 39066 41769 44811 45577 48258 58599 69706 72387 83538 84643 89622 91154 104559 117198 134433 136731 144774 169286 175797 209118 253929 268866 273462 313677 351594 410193 507858 592501 627354 761787 820386 941031 1185002 1230579 1523574 1777503 1882062 2285361 2461158 3555006 4570722 5332509 10665018 15997527 31995054