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1396932960 = 253516071811
BaseRepresentation
bin101001101000011…
…1000000101100000
310121100120112202210
41103100320011200
510330103323320
6350341042120
746421506563
oct12320700540
93540515683
101396932960
11657594455
1232b9b6340
13193546767
14d37544da
158298b0e0
hex53438160

1396932960 has 96 divisors (see below), whose sum is σ = 4405508352. Its totient is φ = 372078080.

The previous prime is 1396932947. The next prime is 1396932989. The reversal of 1396932960 is 692396931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770455 + ... + 772265.

It is an arithmetic number, because the mean of its divisors is an integer number (45890712).

Almost surely, 21396932960 is an apocalyptic number.

1396932960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1396932960 is an abundant number, since it is smaller than the sum of its proper divisors (3008575392).

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

1396932960 is a wasteful number, since it uses less digits than its factorization.

1396932960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3436 (or 3428 counting only the distinct ones).

The product of its (nonzero) digits is 472392, while the sum is 48.

The square root of 1396932960 is about 37375.5663502240. The cubic root of 1396932960 is about 1117.8714248640.

The spelling of 1396932960 in words is "one billion, three hundred ninety-six million, nine hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1607 1811 3214 3622 4821 5433 6428 7244 8035 9055 9642 10866 12856 14488 16070 18110 19284 21732 24105 25712 27165 28976 32140 36220 38568 43464 48210 51424 54330 57952 64280 72440 77136 86928 96420 108660 128560 144880 154272 173856 192840 217320 257120 289760 385680 434640 771360 869280 2910277 5820554 8730831 11641108 14551385 17461662 23282216 29102770 34923324 43654155 46564432 58205540 69846648 87308310 93128864 116411080 139693296 174616620 232822160 279386592 349233240 465644320 698466480 1396932960