Search a number
-
+
1231916532 = 2237114393037
BaseRepresentation
bin100100101101101…
…1000110111110100
310011212001211210020
41021123120313310
510010332312112
6322124125140
742346055250
oct11133306764
93155054706
101231916532
11582426140
122a46967b0
131682ba8c2
14b987b260
157324248c
hex496d8df4

1231916532 has 96 divisors (see below), whose sum is σ = 3593103360. Its totient is φ = 319144320.

The previous prime is 1231916531. The next prime is 1231916561. The reversal of 1231916532 is 2356191321.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 1231916493 and 1231916502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1231916531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 404118 + ... + 407154.

It is an arithmetic number, because the mean of its divisors is an integer number (37428160).

Almost surely, 21231916532 is an apocalyptic number.

1231916532 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 1231916532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1796551680).

1231916532 is an abundant number, since it is smaller than the sum of its proper divisors (2361186828).

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

1231916532 is a wasteful number, since it uses less digits than its factorization.

1231916532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3501 (or 3499 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 1231916532 is about 35098.6685217545. The cubic root of 1231916532 is about 1071.9974718233.

The spelling of 1231916532 in words is "one billion, two hundred thirty-one million, nine hundred sixteen thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 231 308 439 462 878 924 1317 1756 2634 3037 3073 4829 5268 6074 6146 9111 9219 9658 12148 12292 14487 18222 18438 19316 21259 28974 33407 33803 36444 36876 42518 57948 63777 66814 67606 85036 100221 101409 127554 133628 135212 200442 202818 233849 255108 400884 405636 467698 701547 935396 1333243 1403094 2666486 2806188 3999729 5332972 7999458 9332701 14665673 15998916 18665402 27998103 29331346 37330804 43997019 55996206 58662692 87994038 102659711 111992412 175988076 205319422 307979133 410638844 615958266 1231916532