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1153254004 = 227223325253
BaseRepresentation
bin100010010111101…
…0100001001110100
32222101001101002021
41010233110021310
54330213112004
6310234122524
740402332400
oct10457241164
92871041067
101153254004
11541a88891
12282280444
13154c08226
14ad242100
156b3a4d54
hex44bd4274

1153254004 has 36 divisors (see below), whose sum is σ = 2357864964. Its totient is φ = 492110976.

The previous prime is 1153253917. The next prime is 1153254013. The reversal of 1153254004 is 4004523511.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 721029904 + 432224100 = 26852^2 + 20790^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1153254004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33042 + ... + 58294.

It is an arithmetic number, because the mean of its divisors is an integer number (65496249).

Almost surely, 21153254004 is an apocalyptic number.

1153254004 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 1153254004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178932482).

1153254004 is an abundant number, since it is smaller than the sum of its proper divisors (1204610960).

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

1153254004 is a wasteful number, since it uses less digits than its factorization.

1153254004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25504 (or 25495 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 1153254004 is about 33959.5936960382. The cubic root of 1153254004 is about 1048.6767924567.

Adding to 1153254004 its reverse (4004523511), we get a palindrome (5157777515).

It can be divided in two parts, 11532 and 54004, that added together give a 16-th power (65536 = 216).

The spelling of 1153254004 in words is "one billion, one hundred fifty-three million, two hundred fifty-four thousand, four".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 932 1631 3262 6524 11417 22834 25253 45668 50506 101012 176771 353542 707084 1237397 2474794 4949588 5883949 11767898 23535796 41187643 82375286 164750572 288313501 576627002 1153254004