Search a number
-
+
4003124240 = 245233170181
BaseRepresentation
bin1110111010011010…
…1101010000010000
3101022222120210002202
43232212231100100
531144244433430
61501120502332
7201125665103
oct35646552020
911288523082
104003124240
111774728545
1293877a9a8
134ba47678b
1429d92873a
15186690d45
hexee9ad410

4003124240 has 80 divisors (see below), whose sum is σ = 10025358336. Its totient is φ = 1482201600.

The previous prime is 4003124233. The next prime is 4003124267. The reversal of 4003124240 is 424213004.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21950 + ... + 92130.

Almost surely, 24003124240 is an apocalyptic number.

4003124240 is a gapful number since it is divisible by the number (40) 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 4003124240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012679168).

4003124240 is an abundant number, since it is smaller than the sum of its proper divisors (6022234096).

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

4003124240 is a wasteful number, since it uses less digits than its factorization.

4003124240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70248 (or 70242 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4003124240 is about 63270.2476682366. The cubic root of 4003124240 is about 1587.8142295699.

Adding to 4003124240 its reverse (424213004), we get a palindrome (4427337244).

The spelling of 4003124240 in words is "four billion, three million, one hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 31 40 46 62 80 92 115 124 155 184 230 248 310 368 460 496 620 713 920 1240 1426 1840 2480 2852 3565 5704 7130 11408 14260 28520 57040 70181 140362 280724 350905 561448 701810 1122896 1403620 1614163 2175611 2807240 3228326 4351222 5614480 6456652 8070815 8702444 10878055 12913304 16141630 17404888 21756110 25826608 32283260 34809776 43512220 50039053 64566520 87024440 100078106 129133040 174048880 200156212 250195265 400312424 500390530 800624848 1000781060 2001562120 4003124240