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31230528 = 2637191223
BaseRepresentation
bin111011100100…
…0101001000000
32011202200020020
41313020221000
530443334103
63033213440
7526312050
oct167105100
964680206
1031230528
11166a0a5a
12a561280
136616104
14420d560
152b1d753
hex1dc8a40

31230528 has 112 divisors (see below), whose sum is σ = 99486720. Its totient is φ = 8446464.

The previous prime is 31230499. The next prime is 31230533. The reversal of 31230528 is 82503213.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 31230498 and 31230507.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24925 + ... + 26147.

Almost surely, 231230528 is an apocalyptic number.

31230528 is a gapful number since it is divisible by the number (38) 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 31230528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49743360).

31230528 is an abundant number, since it is smaller than the sum of its proper divisors (68256192).

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

31230528 is a wasteful number, since it uses less digits than its factorization.

31230528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 31230528 is about 5588.4280437347. The cubic root of 31230528 is about 314.9148270603.

The spelling of 31230528 in words is "thirty-one million, two hundred thirty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 112 114 133 152 168 192 224 228 266 304 336 399 448 456 532 608 672 798 912 1064 1216 1223 1344 1596 1824 2128 2446 3192 3648 3669 4256 4892 6384 7338 8512 8561 9784 12768 14676 17122 19568 23237 25536 25683 29352 34244 39136 46474 51366 58704 68488 69711 78272 92948 102732 117408 136976 139422 162659 185896 205464 234816 273952 278844 325318 371792 410928 487977 547904 557688 650636 743584 821856 975954 1115376 1301272 1487168 1643712 1951908 2230752 2602544 3903816 4461504 5205088 7807632 10410176 15615264 31230528