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1385189120 = 2857314987
BaseRepresentation
bin101001010010000…
…0100111100000000
310120112110220020202
41102210010330000
510314102022440
6345241224332
746216625150
oct12244047400
93515426222
101385189120
116509a30a7
12327a920a8
13190c94243
14d1d78760
158191b615
hex52904f00

1385189120 has 144 divisors (see below), whose sum is σ = 3915061248. Its totient is φ = 459509760.

The previous prime is 1385189119. The next prime is 1385189131. The reversal of 1385189120 is 219815831.

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, 275267 + ... + 280253.

Almost surely, 21385189120 is an apocalyptic number.

1385189120 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 1385189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1957530624).

1385189120 is an abundant number, since it is smaller than the sum of its proper divisors (2529872128).

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

1385189120 is an equidigital number, since it uses as much as digits as its factorization.

1385189120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5032 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 38.

The square root of 1385189120 is about 37218.1289158926. The cubic root of 1385189120 is about 1114.7300035997.

The spelling of 1385189120 in words is "one billion, three hundred eighty-five million, one hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 256 280 310 320 434 448 496 560 620 640 868 896 992 1085 1120 1240 1280 1736 1792 1984 2170 2240 2480 3472 3968 4340 4480 4960 4987 6944 7936 8680 8960 9920 9974 13888 17360 19840 19948 24935 27776 34720 34909 39680 39896 49870 55552 69440 69818 79792 99740 138880 139636 154597 159584 174545 199480 277760 279272 309194 319168 349090 398960 558544 618388 638336 698180 772985 797920 1082179 1117088 1236776 1276672 1396360 1545970 1595840 2164358 2234176 2473552 2792720 3091940 3191680 4328716 4468352 4947104 5410895 5585440 6183880 6383360 8657432 8936704 9894208 10821790 11170880 12367760 17314864 19788416 21643580 22341760 24735520 34629728 39576832 43287160 44683520 49471040 69259456 86574320 98942080 138518912 173148640 197884160 277037824 346297280 692594560 1385189120