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924260130 = 2325194113183
BaseRepresentation
bin110111000101110…
…001011100100010
32101102011021112200
4313011301130202
53343102311010
6231414034030
731622036643
oct6705613442
92342137480
10924260130
114347a2352
12219648916
1311963bbb1
148aa736ca
155621ecc0
hex37171722

924260130 has 96 divisors (see below), whose sum is σ = 2591447040. Its totient is φ = 227784960.

The previous prime is 924260119. The next prime is 924260143. The reversal of 924260130 is 31062429.

924260130 is a `hidden beast` number, since 9 + 24 + 2 + 601 + 30 = 666.

924260130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 924260094 and 924260103.

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, 63519 + ... + 76701.

It is an arithmetic number, because the mean of its divisors is an integer number (26994240).

Almost surely, 2924260130 is an apocalyptic number.

924260130 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 924260130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295723520).

924260130 is an abundant number, since it is smaller than the sum of its proper divisors (1667186910).

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

924260130 is a wasteful number, since it uses less digits than its factorization.

924260130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13256 (or 13253 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 924260130 is about 30401.6468303939. The cubic root of 924260130 is about 974.0877305177.

The spelling of 924260130 in words is "nine hundred twenty-four million, two hundred sixty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 41 45 57 82 90 95 114 123 171 190 205 246 285 342 369 410 570 615 738 779 855 1230 1558 1710 1845 2337 3690 3895 4674 7011 7790 11685 13183 14022 23370 26366 35055 39549 65915 70110 79098 118647 131830 197745 237294 250477 395490 500954 540503 593235 751431 1081006 1186470 1252385 1502862 1621509 2254293 2504770 2702515 3243018 3757155 4508586 4864527 5405030 7514310 8107545 9729054 10269557 11271465 16215090 20539114 22542930 24322635 30808671 48645270 51347785 61617342 92426013 102695570 154043355 184852026 308086710 462130065 924260130