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1452020440 = 2351310127647
BaseRepresentation
bin101011010001100…
…0001001011011000
310202012020021120211
41112203001023120
510433204123230
6400025500504
750660653513
oct12643011330
93665207524
101452020440
1168569a4a2
12346341734
131a1a936c0
14dabb3d7a
158771d42a
hex568c12d8

1452020440 has 64 divisors (see below), whose sum is σ = 3553320960. Its totient is φ = 530803200.

The previous prime is 1452020407. The next prime is 1452020441. The reversal of 1452020440 is 440202541.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1452020441) 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, 38697 + ... + 66343.

It is an arithmetic number, because the mean of its divisors is an integer number (55520640).

Almost surely, 21452020440 is an apocalyptic number.

1452020440 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 1452020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1776660480).

1452020440 is an abundant number, since it is smaller than the sum of its proper divisors (2101300520).

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

1452020440 is a wasteful number, since it uses less digits than its factorization.

1452020440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27772 (or 27768 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 1452020440 is about 38105.3859710146. The cubic root of 1452020440 is about 1132.3766617300.

Adding to 1452020440 its reverse (440202541), we get a palindrome (1892222981).

The spelling of 1452020440 in words is "one billion, four hundred fifty-two million, twenty thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 101 104 130 202 260 404 505 520 808 1010 1313 2020 2626 4040 5252 6565 10504 13130 26260 27647 52520 55294 110588 138235 221176 276470 359411 552940 718822 1105880 1437644 1797055 2792347 2875288 3594110 5584694 7188220 11169388 13961735 14376440 22338776 27923470 36300511 55846940 72601022 111693880 145202044 181502555 290404088 363005110 726010220 1452020440