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31149820 = 22513235209
BaseRepresentation
bin111011011010…
…0111011111100
32011121120112001
41312310323330
530433243240
63031352044
7525524542
oct166647374
964546461
1031149820
1116646359
12a522624
1365b8460
1441cbd92
152b0489a
hex1db4efc

31149820 has 48 divisors (see below), whose sum is σ = 73523520. Its totient is φ = 10999296.

The previous prime is 31149809. The next prime is 31149821. The reversal of 31149820 is 2894113.

It is a happy number.

It is a super-3 number, since 3×311498203 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31149821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376 + ... + 8584.

It is an arithmetic number, because the mean of its divisors is an integer number (1531740).

Almost surely, 231149820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31149820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36761760).

31149820 is an abundant number, since it is smaller than the sum of its proper divisors (42373700).

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

31149820 is a wasteful number, since it uses less digits than its factorization.

31149820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5252 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 31149820 is about 5581.2023794161. The cubic root of 31149820 is about 314.6433184542.

The spelling of 31149820 in words is "thirty-one million, one hundred forty-nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 23 26 46 52 65 92 115 130 230 260 299 460 598 1196 1495 2990 5209 5980 10418 20836 26045 52090 67717 104180 119807 135434 239614 270868 338585 479228 599035 677170 1198070 1354340 1557491 2396140 3114982 6229964 7787455 15574910 31149820