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1153401312 = 25371725939
BaseRepresentation
bin100010010111111…
…1000000111100000
32222101022212011010
41010233320013200
54330232320222
6310241220520
740403515020
oct10457700740
92871285133
101153401312
11542079528
12282331740
13154c5a2ab
14ad27da80
156b3d380c
hex44bf81e0

1153401312 has 144 divisors (see below), whose sum is σ = 3676337280. Its totient is φ = 310106112.

The previous prime is 1153401247. The next prime is 1153401331. The reversal of 1153401312 is 2131043511.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191239 + ... + 197177.

It is an arithmetic number, because the mean of its divisors is an integer number (25530120).

Almost surely, 21153401312 is an apocalyptic number.

1153401312 is a gapful number since it is divisible by the number (12) 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 1153401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838168640).

1153401312 is an abundant number, since it is smaller than the sum of its proper divisors (2522935968).

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

1153401312 is a wasteful number, since it uses less digits than its factorization.

1153401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5993 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1153401312 is about 33961.7624984334. The cubic root of 1153401312 is about 1048.7214405867.

Adding to 1153401312 its reverse (2131043511), we get a palindrome (3284444823).

The spelling of 1153401312 in words is "one billion, one hundred fifty-three million, four hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 68 84 96 102 112 119 136 168 204 224 238 272 289 336 357 408 476 544 578 672 714 816 867 952 1156 1428 1632 1734 1904 2023 2312 2856 3468 3808 4046 4624 5712 5939 6069 6936 8092 9248 11424 11878 12138 13872 16184 17817 23756 24276 27744 32368 35634 41573 47512 48552 64736 71268 83146 95024 97104 100963 124719 142536 166292 190048 194208 201926 249438 285072 302889 332584 403852 498876 570144 605778 665168 706741 807704 997752 1211556 1330336 1413482 1615408 1716371 1995504 2120223 2423112 2826964 3230816 3432742 3991008 4240446 4846224 5149113 5653928 6865484 8480892 9692448 10298226 11307856 12014597 13730968 16961784 20596452 22615712 24029194 27461936 33923568 36043791 41192904 48058388 54923872 67847136 72087582 82385808 96116776 144175164 164771616 192233552 288350328 384467104 576700656 1153401312