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1450450120 = 2357191032647
BaseRepresentation
bin101011001110100…
…0001110011001000
310202002021111111211
41112131001303020
510432303400440
6355532102504
750641423360
oct12635016310
93662244454
101450450120
11684817709
12345904a34
131a1663a12
14da8c59a0
158750ceea
hex56741cc8

1450450120 has 128 divisors (see below), whose sum is σ = 3965644800. Its totient is φ = 466373376.

The previous prime is 1450450117. The next prime is 1450450151. The reversal of 1450450120 is 210540541.

It is a junction number, because it is equal to n+sod(n) for n = 1450450091 and 1450450100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 546637 + ... + 549283.

It is an arithmetic number, because the mean of its divisors is an integer number (30981600).

Almost surely, 21450450120 is an apocalyptic number.

1450450120 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 1450450120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1982822400).

1450450120 is an abundant number, since it is smaller than the sum of its proper divisors (2515194680).

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

1450450120 is a wasteful number, since it uses less digits than its factorization.

1450450120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 1450450120 is about 38084.7754358615. The cubic root of 1450450120 is about 1131.9683031243.

Adding to 1450450120 its reverse (210540541), we get a palindrome (1660990661).

The spelling of 1450450120 in words is "one billion, four hundred fifty million, four hundred fifty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 35 38 40 56 70 76 95 103 133 140 152 190 206 266 280 380 412 515 532 665 721 760 824 1030 1064 1330 1442 1957 2060 2647 2660 2884 3605 3914 4120 5294 5320 5768 7210 7828 9785 10588 13235 13699 14420 15656 18529 19570 21176 26470 27398 28840 37058 39140 50293 52940 54796 68495 74116 78280 92645 100586 105880 109592 136990 148232 185290 201172 251465 272641 273980 352051 370580 402344 502930 545282 547960 704102 741160 1005860 1090564 1363205 1408204 1760255 1908487 2011720 2181128 2726410 2816408 3520510 3816974 5180179 5452820 7041020 7633948 9542435 10360358 10905640 14082040 15267896 19084870 20720716 25900895 36261253 38169740 41441432 51801790 72522506 76339480 103603580 145045012 181306265 207207160 290090024 362612530 725225060 1450450120