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1390804140 = 2235116473257
BaseRepresentation
bin101001011100101…
…1111110010101100
310120221001011121110
41102321133302230
510322021213030
6350001432020
746315432365
oct12271376254
93527034543
101390804140
11654088810
1232993b610
131921abc3b
14d29dab6c
158217a1b0
hex52e5fcac

1390804140 has 96 divisors (see below), whose sum is σ = 4256146944. Its totient is φ = 336540160.

The previous prime is 1390804133. The next prime is 1390804141. The reversal of 1390804140 is 414080931.

It is a happy number.

It is a super-2 number, since 2×13908041402 = 3868672311682279200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1390804098 and 1390804107.

It is not an unprimeable number, because it can be changed into a prime (1390804141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425392 + ... + 428648.

It is an arithmetic number, because the mean of its divisors is an integer number (44334864).

Almost surely, 21390804140 is an apocalyptic number.

1390804140 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 1390804140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128073472).

1390804140 is an abundant number, since it is smaller than the sum of its proper divisors (2865342804).

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

1390804140 is a wasteful number, since it uses less digits than its factorization.

1390804140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3927 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1390804140 is about 37293.4865626694. The cubic root of 1390804140 is about 1116.2342007932.

The spelling of 1390804140 in words is "one billion, three hundred ninety million, eight hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 647 660 1294 1941 2588 3235 3257 3882 6470 6514 7117 7764 9705 9771 12940 13028 14234 16285 19410 19542 21351 28468 32570 35585 35827 38820 39084 42702 48855 65140 71170 71654 85404 97710 106755 107481 142340 143308 179135 195420 213510 214962 358270 427020 429924 537405 716540 1074810 2107279 2149620 4214558 6321837 8429116 10536395 12643674 21072790 23180069 25287348 31609185 42145580 46360138 63218370 69540207 92720276 115900345 126436740 139080414 231800690 278160828 347701035 463601380 695402070 1390804140