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1154313020 = 225718145553
BaseRepresentation
bin100010011001101…
…0110101100111100
32222110001011210002
41010303112230330
54331001004040
6310312533432
740414333040
oct10463265474
92873034702
101154313020
11542641503
122826b1278
131551b9273
14ad43a020
156b513a15
hex44cd6b3c

1154313020 has 48 divisors (see below), whose sum is σ = 2785718208. Its totient is φ = 393569280.

The previous prime is 1154313019. The next prime is 1154313037. The reversal of 1154313020 is 203134511.

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

It is a junction number, because it is equal to n+sod(n) for n = 1154312983 and 1154313001.

It is a congruent number.

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, 2564 + ... + 48116.

It is an arithmetic number, because the mean of its divisors is an integer number (58035796).

Almost surely, 21154313020 is an apocalyptic number.

1154313020 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 1154313020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392859104).

1154313020 is an abundant number, since it is smaller than the sum of its proper divisors (1631405188).

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

1154313020 is a wasteful number, since it uses less digits than its factorization.

1154313020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45750 (or 45748 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 1154313020 is about 33975.1824130497. The cubic root of 1154313020 is about 1048.9976890192.

Adding to 1154313020 its reverse (203134511), we get a palindrome (1357447531).

The spelling of 1154313020 in words is "one billion, one hundred fifty-four million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 181 362 724 905 1267 1810 2534 3620 5068 6335 12670 25340 45553 91106 182212 227765 318871 455530 637742 911060 1275484 1594355 3188710 6377420 8245093 16490186 32980372 41225465 57715651 82450930 115431302 164901860 230862604 288578255 577156510 1154313020