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630191040 = 26354713967
BaseRepresentation
bin100101100011111…
…111001111000000
31121220211000120220
4211203333033000
52242312103130
6142311103040
721421351443
oct4543771700
91556730526
10630191040
112a37a9946
12157071a80
13a073980b
145d9a565a
153a4d3410
hex258ff3c0

630191040 has 112 divisors (see below), whose sum is σ = 2043574272. Its totient is φ = 164463616.

The previous prime is 630191039. The next prime is 630191059. The reversal of 630191040 is 40191036.

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

It is a self number, because there is not a number n which added to its sum of digits gives 630191040.

It is a congruent number.

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, 38137 + ... + 52103.

Almost surely, 2630191040 is an apocalyptic number.

630191040 is a gapful number since it is divisible by the number (60) 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 630191040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021787136).

630191040 is an abundant number, since it is smaller than the sum of its proper divisors (1413383232).

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

630191040 is a wasteful number, since it uses less digits than its factorization.

630191040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14034 (or 14024 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 630191040 is about 25103.6061154568. The cubic root of 630191040 is about 857.3485309615.

The spelling of 630191040 in words is "six hundred thirty million, one hundred ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 47 48 60 64 80 94 96 120 141 160 188 192 235 240 282 320 376 470 480 564 705 752 940 960 1128 1410 1504 1880 2256 2820 3008 3760 4512 5640 7520 9024 11280 13967 15040 22560 27934 41901 45120 55868 69835 83802 111736 139670 167604 209505 223472 279340 335208 419010 446944 558680 656449 670416 838020 893888 1117360 1312898 1340832 1676040 1969347 2234720 2625796 2681664 3282245 3352080 3938694 4469440 5251592 6564490 6704160 7877388 9846735 10503184 13128980 13408320 15754776 19693470 21006368 26257960 31509552 39386940 42012736 52515920 63019104 78773880 105031840 126038208 157547760 210063680 315095520 630191040