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1153430404 = 227223331773
BaseRepresentation
bin100010010111111…
…1111001110000100
32222101101100001121
41010233333032010
54330234233104
6310242003324
740403665600
oct10457771604
92871340047
101153430404
11542099375
12282346544
13154c6a5c9
14ad28a500
156b3dc254
hex44bff384

1153430404 has 72 divisors (see below), whose sum is σ = 2460725568. Its totient is φ = 470796480.

The previous prime is 1153430401. The next prime is 1153430407. The reversal of 1153430404 is 4040343511.

It is an interprime number because it is at equal distance from previous prime (1153430401) and next prime (1153430407).

It is not an unprimeable number, because it can be changed into a prime (1153430401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1491762 + ... + 1492534.

It is an arithmetic number, because the mean of its divisors is an integer number (34176744).

Almost surely, 21153430404 is an apocalyptic number.

1153430404 is a gapful number since it is divisible by the number (14) 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 1153430404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1230362784).

1153430404 is an abundant number, since it is smaller than the sum of its proper divisors (1307295164).

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

1153430404 is a wasteful number, since it uses less digits than its factorization.

1153430404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1153430404 is about 33962.1908009480. The cubic root of 1153430404 is about 1048.7302577397.

Adding to 1153430404 its reverse (4040343511), we get a palindrome (5193773915).

The spelling of 1153430404 in words is "one billion, one hundred fifty-three million, four hundred thirty thousand, four hundred four".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 322 331 644 662 773 1127 1324 1546 2254 2317 3092 4508 4634 5411 7613 9268 10822 15226 16219 17779 21644 30452 32438 35558 37877 53291 64876 71116 75754 106582 124453 151508 213164 248906 255863 373037 497812 511726 746074 871171 1023452 1492148 1742342 1791041 3484684 3582082 5884849 7164164 11769698 12537287 23539396 25074574 41193943 50149148 82387886 164775772 288357601 576715202 1153430404