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1135413552 = 2437131913681
BaseRepresentation
bin100001110101101…
…0000100100110000
32221010110222120210
41003223100210300
54311131213202
6304355504120
740064566410
oct10353204460
92833428523
101135413552
11532a03009
122782b8040
131512cca50
14aab1a640
1569a2dc6c
hex43ad0930

1135413552 has 160 divisors (see below), whose sum is σ = 3800312320. Its totient is φ = 283668480.

The previous prime is 1135413551. The next prime is 1135413563. The reversal of 1135413552 is 2553145311.

It is not an unprimeable number, because it can be changed into a prime (1135413551) 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, 76152 + ... + 89832.

It is an arithmetic number, because the mean of its divisors is an integer number (23751952).

Almost surely, 21135413552 is an apocalyptic number.

1135413552 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 1135413552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900156160).

1135413552 is an abundant number, since it is smaller than the sum of its proper divisors (2664898768).

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

1135413552 is a wasteful number, since it uses less digits than its factorization.

1135413552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13731 (or 13725 counting only the distinct ones).

The product of its digits is 9000, while the sum is 30.

The square root of 1135413552 is about 33695.8981479942. The cubic root of 1135413552 is about 1043.2411067129.

Adding to 1135413552 its reverse (2553145311), we get a palindrome (3688558863).

The spelling of 1135413552 in words is "one billion, one hundred thirty-five million, four hundred thirteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 19 21 24 26 28 38 39 42 48 52 56 57 76 78 84 91 104 112 114 133 152 156 168 182 208 228 247 266 273 304 312 336 364 399 456 494 532 546 624 728 741 798 912 988 1064 1092 1456 1482 1596 1729 1976 2128 2184 2964 3192 3458 3952 4368 5187 5928 6384 6916 10374 11856 13681 13832 20748 27362 27664 41043 41496 54724 82086 82992 95767 109448 164172 177853 191534 218896 259939 287301 328344 355706 383068 519878 533559 574602 656688 711412 766136 779817 1039756 1067118 1149204 1244971 1422824 1532272 1559634 1819573 2079512 2134236 2298408 2489942 2845648 3119268 3379207 3639146 3734913 4159024 4268472 4596816 4979884 5458719 6238536 6758414 7278292 7469826 8536944 9959768 10137621 10917438 12477072 13516828 14556584 14939652 19919536 20275242 21834876 23654449 27033656 29113168 29879304 40550484 43669752 47308898 54067312 59758608 70963347 81100968 87339504 94617796 141926694 162201936 189235592 283853388 378471184 567706776 1135413552