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1390221120 = 26351977351
BaseRepresentation
bin101001011011101…
…0001011101000000
310120212221112212010
41102313101131000
510321344033440
6345541132520
746310453541
oct12267213500
93525845763
101390221120
1165381a782
123296ba140
13192036762
14d28c84c8
15820b2580
hex52dd1740

1390221120 has 112 divisors (see below), whose sum is σ = 4436961408. Its totient is φ = 368793600.

The previous prime is 1390221083. The next prime is 1390221163. The reversal of 1390221120 is 211220931.

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, 185445 + ... + 192795.

Almost surely, 21390221120 is an apocalyptic number.

1390221120 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 1390221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2218480704).

1390221120 is an abundant number, since it is smaller than the sum of its proper divisors (3046740288).

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

1390221120 is a wasteful number, since it uses less digits than its factorization.

1390221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7558 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 1390221120 is about 37285.6690968527. The cubic root of 1390221120 is about 1116.0782052311.

The spelling of 1390221120 in words is "one billion, three hundred ninety million, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 197 240 320 394 480 591 788 960 985 1182 1576 1970 2364 2955 3152 3940 4728 5910 6304 7351 7880 9456 11820 12608 14702 15760 18912 22053 23640 29404 31520 36755 37824 44106 47280 58808 63040 73510 88212 94560 110265 117616 147020 176424 189120 220530 235232 294040 352848 441060 470464 588080 705696 882120 1176160 1411392 1448147 1764240 2352320 2896294 3528480 4344441 5792588 7056960 7240735 8688882 11585176 14481470 17377764 21722205 23170352 28962940 34755528 43444410 46340704 57925880 69511056 86888820 92681408 115851760 139022112 173777640 231703520 278044224 347555280 463407040 695110560 1390221120