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1404102120 = 233519161261
BaseRepresentation
bin101001110110000…
…1110010111101000
310121212001210000020
41103230032113220
510333422231440
6351154440440
746536446121
oct12354162750
93555053006
101404102120
11660640783
12332293120
13194b86975
14d469d048
15834053d0
hex53b0e5e8

1404102120 has 64 divisors (see below), whose sum is σ = 4234429440. Its totient is φ = 372460800.

The previous prime is 1404102103. The next prime is 1404102121. The reversal of 1404102120 is 212014041.

1404102120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1404102120.

It is not an unprimeable number, because it can be changed into a prime (1404102121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7711 + ... + 53550.

It is an arithmetic number, because the mean of its divisors is an integer number (66162960).

Almost surely, 21404102120 is an apocalyptic number.

1404102120 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 1404102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117214720).

1404102120 is an abundant number, since it is smaller than the sum of its proper divisors (2830327320).

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

1404102120 is a wasteful number, since it uses less digits than its factorization.

1404102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61466 (or 61462 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1404102120 is about 37471.3506562013. The cubic root of 1404102120 is about 1119.7804948228.

Adding to 1404102120 its reverse (212014041), we get a palindrome (1616116161).

The spelling of 1404102120 in words is "one billion, four hundred four million, one hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 191 382 573 764 955 1146 1528 1910 2292 2865 3820 4584 5730 7640 11460 22920 61261 122522 183783 245044 306305 367566 490088 612610 735132 918915 1225220 1470264 1837830 2450440 3675660 7351320 11700851 23401702 35102553 46803404 58504255 70205106 93606808 117008510 140410212 175512765 234017020 280820424 351025530 468034040 702051060 1404102120