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1396661040 = 243255233709
BaseRepresentation
bin101001100111111…
…0101101100110000
310121100001201202200
41103033311230300
510330021123130
6350331143200
746416265035
oct12317655460
93540051680
101396661040
11657419125
1232b8a4b00
1319347ca68
14d36c338c
1582935760
hex533f5b30

1396661040 has 120 divisors (see below), whose sum is σ = 4700688720. Its totient is φ = 371630592.

The previous prime is 1396660981. The next prime is 1396661041. The reversal of 1396661040 is 401666931.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1396660986 and 1396661004.

It is not an unprimeable number, because it can be changed into a prime (1396661041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 374706 + ... + 378414.

It is an arithmetic number, because the mean of its divisors is an integer number (39172406).

Almost surely, 21396661040 is an apocalyptic number.

1396661040 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 1396661040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2350344360).

1396661040 is an abundant number, since it is smaller than the sum of its proper divisors (3304027680).

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

1396661040 is a wasteful number, since it uses less digits than its factorization.

1396661040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4251 (or 4242 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1396661040 is about 37371.9285025539. The cubic root of 1396661040 is about 1117.7988870659.

The spelling of 1396661040 in words is "one billion, three hundred ninety-six million, six hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 523 720 1046 1569 2092 2615 3138 3709 4184 4707 5230 6276 7418 7845 8368 9414 10460 11127 12552 14836 15690 18545 18828 20920 22254 23535 25104 29672 31380 33381 37090 37656 41840 44508 47070 55635 59344 62760 66762 74180 75312 89016 94140 111270 125520 133524 148360 166905 178032 188280 222540 267048 296720 333810 376560 445080 534096 667620 890160 1335240 1939807 2670480 3879614 5819421 7759228 9699035 11638842 15518456 17458263 19398070 23277684 29097105 31036912 34916526 38796140 46555368 58194210 69833052 77592280 87291315 93110736 116388420 139666104 155184560 174582630 232776840 279332208 349165260 465553680 698330520 1396661040