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1201425792 = 27372319433
BaseRepresentation
bin100011110011100…
…0100110110000000
310002201200202100120
41013213010312000
54430031111132
6315114420240
741525644050
oct10747046600
93081622316
101201425792
1156719aa86
12296431680
13161ba3448
14b57c1560
157071d02c
hex479c4d80

1201425792 has 128 divisors (see below), whose sum is σ = 3805954560. Its totient is φ = 328323072.

The previous prime is 1201425781. The next prime is 1201425793. The reversal of 1201425792 is 2975241021.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1201425793) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 52108 + ... + 71540.

It is an arithmetic number, because the mean of its divisors is an integer number (29734020).

Almost surely, 21201425792 is an apocalyptic number.

1201425792 is a gapful number since it is divisible by the number (12) 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 1201425792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1902977280).

1201425792 is an abundant number, since it is smaller than the sum of its proper divisors (2604528768).

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

1201425792 is a wasteful number, since it uses less digits than its factorization.

1201425792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19480 (or 19468 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 1201425792 is about 34661.5895769366. The cubic root of 1201425792 is about 1063.0792720743.

The spelling of 1201425792 in words is "one billion, two hundred one million, four hundred twenty-five thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 276 322 336 368 384 448 483 552 644 672 736 896 966 1104 1288 1344 1472 1932 2208 2576 2688 2944 3864 4416 5152 7728 8832 10304 15456 19433 20608 30912 38866 58299 61824 77732 116598 136031 155464 233196 272062 310928 408093 446959 466392 544124 621856 816186 893918 932784 1088248 1243712 1340877 1632372 1787836 1865568 2176496 2487424 2681754 3128713 3264744 3575672 3731136 4352992 5363508 6257426 6529488 7151344 7462272 8705984 9386139 10727016 12514852 13058976 14302688 17411968 18772278 21454032 25029704 26117952 28605376 37544556 42908064 50059408 52235904 57210752 75089112 85816128 100118816 150178224 171632256 200237632 300356448 400475264 600712896 1201425792