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1350204504 = 2331129315689
BaseRepresentation
bin101000001111010…
…0111110001011000
310111002122111101020
41100132213301120
510231123021004
6341551322440
745313356165
oct12036476130
93432574336
101350204504
116331786a0
12318220420
1318696549c
14cb46d06c
157d80a8d9
hex507a7c58

1350204504 has 128 divisors (see below), whose sum is σ = 3932928000. Its totient is φ = 382233600.

The previous prime is 1350204491. The next prime is 1350204509. The reversal of 1350204504 is 4054020531.

It is a super-3 number, since 3×13502045043 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1350204509) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 234492 + ... + 240180.

It is an arithmetic number, because the mean of its divisors is an integer number (30726000).

Almost surely, 21350204504 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 1350204504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1966464000).

1350204504 is an abundant number, since it is smaller than the sum of its proper divisors (2582723496).

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

1350204504 is a wasteful number, since it uses less digits than its factorization.

1350204504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5769 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 1350204504 is about 36745.1289833088. The cubic root of 1350204504 is about 1105.2652541209.

The spelling of 1350204504 in words is "one billion, three hundred fifty million, two hundred four thousand, five hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 31 33 44 58 62 66 87 88 93 116 124 132 174 186 232 248 264 319 341 348 372 638 682 696 744 899 957 1023 1276 1364 1798 1914 2046 2552 2697 2728 3596 3828 4092 5394 5689 7192 7656 8184 9889 10788 11378 17067 19778 21576 22756 29667 34134 39556 45512 59334 62579 68268 79112 118668 125158 136536 164981 176359 187737 237336 250316 329962 352718 375474 494943 500632 529077 659924 705436 750948 989886 1058154 1319848 1410872 1501896 1814791 1939949 1979772 2116308 3629582 3879898 3959544 4232616 5114411 5444373 5819847 7259164 7759796 10228822 10888746 11639694 14518328 15343233 15519592 20457644 21777492 23279388 30686466 40915288 43554984 46558776 56258521 61372932 112517042 122745864 168775563 225034084 337551126 450068168 675102252 1350204504