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1403041920 = 27357104393
BaseRepresentation
bin101001110100000…
…1011100010000000
310121210001220200120
41103220023202000
510333134320140
6351120020240
746524442140
oct12350134200
93553056616
101403041920
1165aa87185
12331a61680
131948a5227
14d44a4920
15832961d0
hex53a0b880

1403041920 has 128 divisors (see below), whose sum is σ = 5111130240. Its totient is φ = 320692224.

The previous prime is 1403041901. The next prime is 1403041921. The reversal of 1403041920 is 291403041.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (1403041921) by changing a digit.

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, 38757 + ... + 65636.

It is an arithmetic number, because the mean of its divisors is an integer number (39930705).

Almost surely, 21403041920 is an apocalyptic number.

1403041920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1403041920 is an abundant number, since it is smaller than the sum of its proper divisors (3708088320).

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

1403041920 is a wasteful number, since it uses less digits than its factorization.

1403041920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104422 (or 104410 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1403041920 is about 37457.2011768098. The cubic root of 1403041920 is about 1119.4985850779.

Adding to 1403041920 its reverse (291403041), we get a palindrome (1694444961).

The spelling of 1403041920 in words is "one billion, four hundred three million, forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 13440 104393 208786 313179 417572 521965 626358 730751 835144 1043930 1252716 1461502 1565895 1670288 2087860 2192253 2505432 2923004 3131790 3340576 3653755 4175720 4384506 5010864 5846008 6263580 6681152 7307510 8351440 8769012 10021728 10961265 11692016 12527160 13362304 14615020 16702880 17538024 20043456 21922530 23384032 25054320 29230040 33405760 35076048 40086912 43845060 46768064 50108640 58460080 66811520 70152096 87690120 93536128 100217280 116920160 140304192 175380240 200434560 233840320 280608384 350760480 467680640 701520960 1403041920