Search a number
-
+
1396403904 = 26374012591
BaseRepresentation
bin101001100111011…
…0110111011000000
310121022120200001010
41103032312323000
510324434411104
6350321440520
746414144260
oct12316667300
93538520033
101396403904
11657262a15
1232b7a0140
131933bc9cc
14d36577a0
15828d4489
hex533b6ec0

1396403904 has 112 divisors (see below), whose sum is σ = 4234622976. Its totient is φ = 397824000.

The previous prime is 1396403891. The next prime is 1396403971. The reversal of 1396403904 is 4093046931.

It is a tau number, because it is divible by the number of its divisors (112).

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, 537649 + ... + 540239.

Almost surely, 21396403904 is an apocalyptic number.

1396403904 is a gapful number since it is divisible by the number (14) 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 1396403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117311488).

1396403904 is an abundant number, since it is smaller than the sum of its proper divisors (2838219072).

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

1396403904 is a wasteful number, since it uses less digits than its factorization.

1396403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3014 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 1396403904 is about 37368.4881149880. The cubic root of 1396403904 is about 1117.7302844087.

The spelling of 1396403904 in words is "one billion, three hundred ninety-six million, four hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 401 448 672 802 1203 1344 1604 2406 2591 2807 3208 4812 5182 5614 6416 7773 8421 9624 10364 11228 12832 15546 16842 18137 19248 20728 22456 25664 31092 33684 36274 38496 41456 44912 54411 62184 67368 72548 76992 82912 89824 108822 124368 134736 145096 165824 179648 217644 248736 269472 290192 435288 497472 538944 580384 870576 1038991 1160768 1741152 2077982 3116973 3482304 4155964 6233946 7272937 8311928 12467892 14545874 16623856 21818811 24935784 29091748 33247712 43637622 49871568 58183496 66495424 87275244 99743136 116366992 174550488 199486272 232733984 349100976 465467968 698201952 1396403904