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1399607640 = 233351968207
BaseRepresentation
bin101001101101100…
…0101000101011000
310121112121102202000
41103123011011120
510331244421030
6350514241000
746453316514
oct12333050530
93545542660
101399607640
11659050a32
12330886160
13193c72002
14d3c4d144
1582d18860
hex536c5158

1399607640 has 128 divisors (see below), whose sum is σ = 4910976000. Its totient is φ = 353579904.

The previous prime is 1399607639. The next prime is 1399607647. The reversal of 1399607640 is 467069931.

1399607640 is a `hidden beast` number, since 1 + 39 + 9 + 607 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1399607647) 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, 13584 + ... + 54623.

It is an arithmetic number, because the mean of its divisors is an integer number (38367000).

Almost surely, 21399607640 is an apocalyptic number.

1399607640 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 1399607640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455488000).

1399607640 is an abundant number, since it is smaller than the sum of its proper divisors (3511368360).

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

1399607640 is a wasteful number, since it uses less digits than its factorization.

1399607640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68246 (or 68236 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1399607640 is about 37411.3303692879. The cubic root of 1399607640 is about 1118.5844254614.

The spelling of 1399607640 in words is "one billion, three hundred ninety-nine million, six hundred seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 90 95 108 114 120 135 152 171 180 190 216 228 270 285 342 360 380 456 513 540 570 684 760 855 1026 1080 1140 1368 1710 2052 2280 2565 3420 4104 5130 6840 10260 20520 68207 136414 204621 272828 341035 409242 545656 613863 682070 818484 1023105 1227726 1295933 1364140 1636968 1841589 2046210 2455452 2591866 2728280 3069315 3683178 3887799 4092420 4910904 5183732 6138630 6479665 7366356 7775598 8184840 9207945 10367464 11663397 12277260 12959330 14732712 15551196 18415890 19438995 23326794 24554520 25918660 31102392 34990191 36831780 38877990 46653588 51837320 58316985 69980382 73663560 77755980 93307176 116633970 139960764 155511960 174950955 233267940 279921528 349901910 466535880 699803820 1399607640