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1390030080 = 28353111677
BaseRepresentation
bin101001011011010…
…0010110100000000
310120212120211210120
41102312202310000
510321321430310
6345533100240
746306026555
oct12266426400
93525524716
101390030080
116536aa19a
12329627680
13191c9a80a
14d2878a2c
1582075b70
hex52da2d00

1390030080 has 144 divisors (see below), whose sum is σ = 4583007744. Its totient is φ = 358686720.

The previous prime is 1390030067. The next prime is 1390030087. The reversal of 1390030080 is 800300931.

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 1390030080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390030087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 113202 + ... + 124878.

Almost surely, 21390030080 is an apocalyptic number.

1390030080 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 1390030080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2291503872).

1390030080 is an abundant number, since it is smaller than the sum of its proper divisors (3192977664).

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

1390030080 is a wasteful number, since it uses less digits than its factorization.

1390030080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11732 (or 11718 counting only the distinct ones).

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

The square root of 1390030080 is about 37283.1071666512. The cubic root of 1390030080 is about 1116.0270801872.

The spelling of 1390030080 in words is "one billion, three hundred ninety million, thirty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 64 80 93 96 120 124 128 155 160 186 192 240 248 256 310 320 372 384 465 480 496 620 640 744 768 930 960 992 1240 1280 1488 1860 1920 1984 2480 2976 3720 3840 3968 4960 5952 7440 7936 9920 11677 11904 14880 19840 23354 23808 29760 35031 39680 46708 58385 59520 70062 93416 116770 119040 140124 175155 186832 233540 280248 350310 361987 373664 467080 560496 700620 723974 747328 934160 1085961 1120992 1401240 1447948 1494656 1809935 1868320 2171922 2241984 2802480 2895896 2989312 3619870 3736640 4343844 4483968 5429805 5604960 5791792 7239740 7473280 8687688 8967936 10859610 11209920 11583584 14479480 14946560 17375376 21719220 22419840 23167168 28958960 34750752 43438440 44839680 46334336 57917920 69501504 86876880 92668672 115835840 139003008 173753760 231671680 278006016 347507520 463343360 695015040 1390030080