Search a number
-
+
31053780 = 2234529661
BaseRepresentation
bin111011001110…
…1011111010100
32011102200210000
41312131133110
530422210110
63025331300
7524644542
oct166353724
964380700
1031053780
111659018a
12a496b30
136583824
1441a4d92
152ad61c0
hex1d9d7d4

31053780 has 120 divisors (see below), whose sum is σ = 100928520. Its totient is φ = 7983360.

The previous prime is 31053761. The next prime is 31053787. The reversal of 31053780 is 8735013.

It can be written as a sum of positive squares in 4 ways, for example, as 6906384 + 24147396 = 2628^2 + 4914^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31053787) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46650 + ... + 47310.

It is an arithmetic number, because the mean of its divisors is an integer number (841071).

Almost surely, 231053780 is an apocalyptic number.

31053780 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 31053780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50464260).

31053780 is an abundant number, since it is smaller than the sum of its proper divisors (69874740).

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

31053780 is a wasteful number, since it uses less digits than its factorization.

31053780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 31053780 is about 5572.5918565781. The cubic root of 31053780 is about 314.3196199155.

Adding to 31053780 its reverse (8735013), we get a palindrome (39788793).

The spelling of 31053780 in words is "thirty-one million, fifty-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 81 87 90 108 116 135 145 162 174 180 261 270 290 324 348 405 435 522 540 580 661 783 810 870 1044 1305 1322 1566 1620 1740 1983 2349 2610 2644 3132 3305 3915 3966 4698 5220 5949 6610 7830 7932 9396 9915 11745 11898 13220 15660 17847 19169 19830 23490 23796 29745 35694 38338 39660 46980 53541 57507 59490 71388 76676 89235 95845 107082 115014 118980 172521 178470 191690 214164 230028 267705 287535 345042 356940 383380 517563 535410 575070 690084 862605 1035126 1070820 1150140 1552689 1725210 2070252 2587815 3105378 3450420 5175630 6210756 7763445 10351260 15526890 31053780