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2545432120 = 2357114871697
BaseRepresentation
bin1001011110111000…
…0011011000111000
320120101200100102201
42113232003120320
520203112311440
61100325235544
7120035546620
oct22756033070
96511610381
102545432120
111096914910
125b0562bb4
1331747866a
141a20b9880
15ed70219a
hex97b83638

2545432120 has 128 divisors (see below), whose sum is σ = 7159311360. Its totient is φ = 791285760.

The previous prime is 2545432093. The next prime is 2545432121. The reversal of 2545432120 is 212345452.

2545432120 is digitally balanced in base 2, 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 (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2545432121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499112 + ... + 1500808.

It is an arithmetic number, because the mean of its divisors is an integer number (55932120).

Almost surely, 22545432120 is an apocalyptic number.

2545432120 is a gapful number since it is divisible by the number (20) 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 2545432120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3579655680).

2545432120 is an abundant number, since it is smaller than the sum of its proper divisors (4613879240).

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

2545432120 is a wasteful number, since it uses less digits than its factorization.

2545432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213 (or 2209 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 28.

The square root of 2545432120 is about 50452.2756672085. The cubic root of 2545432120 is about 1365.3809524988.

Adding to 2545432120 its reverse (212345452), we get a palindrome (2757777572).

The spelling of 2545432120 in words is "two billion, five hundred forty-five million, four hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 140 154 220 280 308 385 440 487 616 770 974 1540 1697 1948 2435 3080 3394 3409 3896 4870 5357 6788 6818 8485 9740 10714 11879 13576 13636 16970 17045 18667 19480 21428 23758 26785 27272 33940 34090 37334 37499 42856 47516 53570 59395 67880 68180 74668 74998 93335 95032 107140 118790 130669 136360 149336 149996 186670 187495 214280 237580 261338 299992 373340 374990 475160 522676 653345 746680 749980 826439 1045352 1306690 1499960 1652878 2613380 3305756 4132195 5226760 5785073 6611512 8264390 9090829 11570146 16528780 18181658 23140292 28925365 33057560 36363316 45454145 46280584 57850730 63635803 72726632 90908290 115701460 127271606 181816580 231402920 254543212 318179015 363633160 509086424 636358030 1272716060 2545432120