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1251150240 = 25355215003
BaseRepresentation
bin100101010010011…
…0000100110100000
310020012021000110210
41022210300212200
510030243301430
6324052254120
743001413224
oct11244604640
93205230423
101251150240
1159227276a
122ab011340
1316c2932b2
14bc246784
1574c912b0
hex4a9309a0

1251150240 has 96 divisors (see below), whose sum is σ = 3949477056. Its totient is φ = 332933120.

The previous prime is 1251150233. The next prime is 1251150253. The reversal of 1251150240 is 420511521.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 247579 + ... + 252581.

It is an arithmetic number, because the mean of its divisors is an integer number (41140386).

Almost surely, 21251150240 is an apocalyptic number.

1251150240 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 1251150240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974738528).

1251150240 is an abundant number, since it is smaller than the sum of its proper divisors (2698326816).

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

1251150240 is a wasteful number, since it uses less digits than its factorization.

1251150240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5542 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 21.

The square root of 1251150240 is about 35371.6021689717. The cubic root of 1251150240 is about 1077.5476593135.

Adding to 1251150240 its reverse (420511521), we get a palindrome (1671661761).

The spelling of 1251150240 in words is "one billion, two hundred fifty-one million, one hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 521 1042 1563 2084 2605 3126 4168 5003 5210 6252 7815 8336 10006 10420 12504 15009 15630 16672 20012 20840 25008 25015 30018 31260 40024 41680 50016 50030 60036 62520 75045 80048 83360 100060 120072 125040 150090 160096 200120 240144 250080 300180 400240 480288 600360 800480 1200720 2401440 2606563 5213126 7819689 10426252 13032815 15639378 20852504 26065630 31278756 39098445 41705008 52131260 62557512 78196890 83410016 104262520 125115024 156393780 208525040 250230048 312787560 417050080 625575120 1251150240