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1253003004 = 22321116718947
BaseRepresentation
bin100101010101111…
…0100111011111100
310020022202010222200
41022223310323330
510031232044004
6324200111500
743023230661
oct11253647374
93208663880
101253003004
11593318780
122ab765590
1316c7916c6
14bc5a9a68
157500a239
hex4aaf4efc

1253003004 has 72 divisors (see below), whose sum is σ = 3476124288. Its totient is φ = 377404320.

The previous prime is 1253002997. The next prime is 1253003021. The reversal of 1253003004 is 4003003521.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56659 + ... + 75605.

It is an arithmetic number, because the mean of its divisors is an integer number (48279504).

Almost surely, 21253003004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253003004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738062144).

1253003004 is an abundant number, since it is smaller than the sum of its proper divisors (2223121284).

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

1253003004 is a wasteful number, since it uses less digits than its factorization.

1253003004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19135 (or 19130 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 1253003004 is about 35397.7824729177. The cubic root of 1253003004 is about 1078.0792919349.

Adding to 1253003004 its reverse (4003003521), we get a palindrome (5256006525).

The spelling of 1253003004 in words is "one billion, two hundred fifty-three million, three thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 167 198 334 396 501 668 1002 1503 1837 2004 3006 3674 5511 6012 7348 11022 16533 18947 22044 33066 37894 56841 66132 75788 113682 170523 208417 227364 341046 416834 625251 682092 833668 1250502 1875753 2501004 3164149 3751506 6328298 7503012 9492447 12656596 18984894 28477341 34805639 37969788 56954682 69611278 104416917 113909364 139222556 208833834 313250751 417667668 626501502 1253003004