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1404420120 = 233452914947
BaseRepresentation
bin101001110110101…
…1100000000011000
310121212122221020000
41103231130000120
510334012420440
6351205333000
746542242205
oct12355340030
93555587200
101404420120
11660838694
12332407160
13194c6862c
14d4742cac
1583469730
hex53b5c018

1404420120 has 160 divisors (see below), whose sum is σ = 4883511600. Its totient is φ = 361573632.

The previous prime is 1404420079. The next prime is 1404420139. The reversal of 1404420120 is 210244041.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1404420093 and 1404420102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 86487 + ... + 101433.

Almost surely, 21404420120 is an apocalyptic number.

1404420120 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 1404420120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2441755800).

1404420120 is an abundant number, since it is smaller than the sum of its proper divisors (3479091480).

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

1404420120 is a wasteful number, since it uses less digits than its factorization.

1404420120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14999 (or 14986 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1404420120 is about 37475.5936577394. The cubic root of 1404420120 is about 1119.8650241253.

Adding to 1404420120 its reverse (210244041), we get a palindrome (1614664161).

The spelling of 1404420120 in words is "one billion, four hundred four million, four hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 29 30 36 40 45 54 58 60 72 81 87 90 108 116 120 135 145 162 174 180 216 232 261 270 290 324 348 360 405 435 522 540 580 648 696 783 810 870 1044 1080 1160 1305 1566 1620 1740 2088 2349 2610 3132 3240 3480 3915 4698 5220 6264 7830 9396 10440 11745 14947 15660 18792 23490 29894 31320 44841 46980 59788 74735 89682 93960 119576 134523 149470 179364 224205 269046 298940 358728 403569 433463 448410 538092 597880 672615 807138 866926 896820 1076184 1210707 1300389 1345230 1614276 1733852 1793640 2017845 2167315 2421414 2600778 2690460 3228552 3467704 3901167 4035690 4334630 4842828 5201556 5380920 6053535 6501945 7802334 8071380 8669260 9685656 10403112 11703501 12107070 13003890 15604668 16142760 17338520 19505835 23407002 24214140 26007780 31209336 35110503 39011670 46814004 48428280 52015560 58517505 70221006 78023340 93628008 117035010 140442012 156046680 175552515 234070020 280884024 351105030 468140040 702210060 1404420120