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1630276240 = 24537619029
BaseRepresentation
bin110000100101100…
…0000101010010000
311012121122121120111
41201023000222100
511314322314430
6425434251104
755254055645
oct14113005220
94177577514
101630276240
1176728073a
12395b86a94
131cc9a66c8
14116735dcc
15981cec2a
hex612c0a90

1630276240 has 80 divisors (see below), whose sum is σ = 3957090480. Its totient is φ = 624015360.

The previous prime is 1630276229. The next prime is 1630276261. The reversal of 1630276240 is 426720361.

It can be written as a sum of positive squares in 8 ways, for example, as 82011136 + 1548265104 = 9056^2 + 39348^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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, 176046 + ... + 185074.

It is an arithmetic number, because the mean of its divisors is an integer number (49463631).

Almost surely, 21630276240 is an apocalyptic number.

1630276240 is a gapful number since it is divisible by the number (10) 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 1630276240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1978545240).

1630276240 is an abundant number, since it is smaller than the sum of its proper divisors (2326814240).

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

1630276240 is a wasteful number, since it uses less digits than its factorization.

1630276240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9140 (or 9134 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 1630276240 is about 40376.6794077968. The cubic root of 1630276240 is about 1176.9384005777.

The spelling of 1630276240 in words is "one billion, six hundred thirty million, two hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 37 40 61 74 80 122 148 185 244 296 305 370 488 592 610 740 976 1220 1480 2257 2440 2960 4514 4880 9028 9029 11285 18056 18058 22570 36112 36116 45140 45145 72232 90280 90290 144464 180560 180580 334073 361160 550769 668146 722320 1101538 1336292 1670365 2203076 2672584 2753845 3340730 4406152 5345168 5507690 6681460 8812304 11015380 13362920 20378453 22030760 26725840 40756906 44061520 81513812 101892265 163027624 203784530 326055248 407569060 815138120 1630276240