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1390044864 = 263131929311
BaseRepresentation
bin101001011011010…
…0110011011000000
310120212121121002010
41102312212123000
510321322413424
6345533252520
746306120635
oct12266463300
93525547063
101390044864
1165370a30a
12329634140
13191ca4470
14d288018c
158207a229
hex52da66c0

1390044864 has 112 divisors (see below), whose sum is σ = 4169338880. Its totient is φ = 405181440.

The previous prime is 1390044829. The next prime is 1390044869. The reversal of 1390044864 is 4684400931.

It is a happy number.

It is a super-3 number, since 3×13900448643 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1390044869) 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, 32769 + ... + 62079.

It is an arithmetic number, because the mean of its divisors is an integer number (37226240).

Almost surely, 21390044864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1390044864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084669440).

1390044864 is an abundant number, since it is smaller than the sum of its proper divisors (2779294016).

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

1390044864 is a wasteful number, since it uses less digits than its factorization.

1390044864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29358 (or 29348 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 1390044864 is about 37283.3054328610. The cubic root of 1390044864 is about 1116.0310367648.

The spelling of 1390044864 in words is "one billion, three hundred ninety million, forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 64 76 78 96 104 114 152 156 192 208 228 247 304 312 416 456 494 608 624 741 832 912 988 1216 1248 1482 1824 1976 2496 2964 3648 3952 5928 7904 11856 15808 23712 29311 47424 58622 87933 117244 175866 234488 351732 381043 468976 556909 703464 762086 937952 1113818 1143129 1406928 1524172 1670727 1875904 2227636 2286258 2813856 3048344 3341454 4455272 4572516 5627712 6096688 6682908 7239817 8910544 9145032 12193376 13365816 14479634 17821088 18290064 21719451 24386752 26731632 28959268 35642176 36580128 43438902 53463264 57918536 73160256 86877804 106926528 115837072 173755608 231674144 347511216 463348288 695022432 1390044864