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4630213840 = 245721769481
BaseRepresentation
bin1000100111111101…
…10111010011010000
3102221200120020022111
410103332313103100
533440313320330
62043241315104
7222512111500
oct42376672320
912850506274
104630213840
111a666a920a
12a92795a94
1358a368705
1431cd23a00
151c176032a
hex113fb74d0

4630213840 has 120 divisors (see below), whose sum is σ = 13259666952. Its totient is φ = 1494097920.

The previous prime is 4630213837. The next prime is 4630213843. The reversal of 4630213840 is 483120364.

It is an interprime number because it is at equal distance from previous prime (4630213837) and next prime (4630213843).

It can be written as a sum of positive squares in 4 ways, for example, as 825297984 + 3804915856 = 28728^2 + 61684^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4630213843) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31900 + ... + 101380.

Almost surely, 24630213840 is an apocalyptic number.

4630213840 is a gapful number since it is divisible by the number (40) 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 4630213840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6629833476).

4630213840 is an abundant number, since it is smaller than the sum of its proper divisors (8629453112).

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

4630213840 is a wasteful number, since it uses less digits than its factorization.

4630213840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69525 (or 69512 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 4630213840 is about 68045.6746604808. The cubic root of 4630213840 is about 1666.7367689625.

The spelling of 4630213840 in words is "four billion, six hundred thirty million, two hundred thirteen thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 16660 33320 66640 69481 138962 277924 347405 486367 555848 694810 972734 1111696 1181177 1389620 1945468 2362354 2431835 2779240 3404569 3890936 4724708 4863670 5558480 5905885 6809138 7781872 8268239 9449416 9727340 11811770 13618276 16536478 17022845 18898832 19454680 23623540 27236552 33072956 34045690 38909360 41341195 47247080 54473104 57877673 66145912 68091380 82682390 94494160 115755346 132291824 136182760 165364780 231510692 272365520 289388365 330729560 463021384 578776730 661459120 926042768 1157553460 2315106920 4630213840