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31429530 = 23251153599
BaseRepresentation
bin111011111100…
…1001110011010
32012010210012200
41313321032122
531021221110
63041351030
7531101166
oct167711632
965123180
1031429530
1116817520
12a638476
136685872
144261ca6
152b5c6c0
hex1df939a

31429530 has 96 divisors (see below), whose sum is σ = 90979200. Its totient is φ = 7463040.

The previous prime is 31429507. The next prime is 31429561. The reversal of 31429530 is 3592413.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 31429494 and 31429503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52171 + ... + 52769.

It is an arithmetic number, because the mean of its divisors is an integer number (947700).

Almost surely, 231429530 is an apocalyptic number.

31429530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31429530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45489600).

31429530 is an abundant number, since it is smaller than the sum of its proper divisors (59549670).

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

31429530 is a wasteful number, since it uses less digits than its factorization.

31429530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 31429530 is about 5606.2045984784. The cubic root of 31429530 is about 315.5822940618.

The spelling of 31429530 in words is "thirty-one million, four hundred twenty-nine thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 53 55 66 90 99 106 110 159 165 198 265 318 330 477 495 530 583 599 795 954 990 1166 1198 1590 1749 1797 2385 2915 2995 3498 3594 4770 5247 5391 5830 5990 6589 8745 8985 10494 10782 13178 17490 17970 19767 26235 26955 31747 32945 39534 52470 53910 59301 63494 65890 95241 98835 118602 158735 190482 197670 285723 296505 317470 349217 476205 571446 593010 698434 952410 1047651 1428615 1746085 2095302 2857230 3142953 3492170 5238255 6285906 10476510 15714765 31429530