Search a number
-
+
1133001464 = 237192973503
BaseRepresentation
bin100001110001000…
…0011101011111000
32220221221102211012
41003202003223320
54310022021324
6304232053052
740035232160
oct10342035370
92827842735
101133001464
11531605851
12277534188
13150966b8a
14aa68d5a0
156970420e
hex43883af8

1133001464 has 128 divisors (see below), whose sum is σ = 2685312000. Its totient is φ = 437197824.

The previous prime is 1133001461. The next prime is 1133001479. The reversal of 1133001464 is 4641003311.

It is a super-2 number, since 2×11330014642 = 2567384634852286592, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1133001461) 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, 2252237 + ... + 2252739.

It is an arithmetic number, because the mean of its divisors is an integer number (20979000).

Almost surely, 21133001464 is an apocalyptic number.

1133001464 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 1133001464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342656000).

1133001464 is an abundant number, since it is smaller than the sum of its proper divisors (1552310536).

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

1133001464 is a wasteful number, since it uses less digits than its factorization.

1133001464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 1133001464 is about 33660.0871062450. The cubic root of 1133001464 is about 1042.5018244174.

Adding to 1133001464 its reverse (4641003311), we get a palindrome (5774004775).

The spelling of 1133001464 in words is "one billion, one hundred thirty-three million, one thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 19 28 29 38 56 58 73 76 116 133 146 152 203 232 266 292 406 503 511 532 551 584 812 1006 1022 1064 1102 1387 1624 2012 2044 2117 2204 2774 3521 3857 4024 4088 4234 4408 5548 7042 7714 8468 9557 9709 11096 14084 14587 14819 15428 16936 19114 19418 28168 29174 29638 30856 36719 38228 38836 40223 58348 59276 66899 73438 76456 77672 80446 102109 116696 118552 133798 146876 160892 204218 257033 267596 277153 281561 293752 321784 408436 514066 535192 554306 563122 697661 816872 1028132 1064851 1108612 1126244 1395322 1940071 2056264 2129702 2217224 2252488 2790644 3880142 4259404 4883627 5581288 7453957 7760284 8518808 9767254 14907914 15520568 19534508 20232169 29815828 39069016 40464338 59631656 80928676 141625183 161857352 283250366 566500732 1133001464