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1353140232 = 2332329137617
BaseRepresentation
bin101000010100111…
…0100100000001000
310111022011122102220
41100221310200020
510232400441412
6342134254040
745350334153
oct12051644010
93438148386
101353140232
116348a3314
123191b7320
131874527c2
14cb9d4c9a
157dbda68c
hex50a74808

1353140232 has 128 divisors (see below), whose sum is σ = 3684268800. Its totient is φ = 412848128.

The previous prime is 1353140231. The next prime is 1353140237. The reversal of 1353140232 is 2320413531.

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

It is not an unprimeable number, because it can be changed into a prime (1353140231) 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, 2192788 + ... + 2193404.

It is an arithmetic number, because the mean of its divisors is an integer number (28783350).

Almost surely, 21353140232 is an apocalyptic number.

1353140232 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 1353140232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842134400).

1353140232 is an abundant number, since it is smaller than the sum of its proper divisors (2331128568).

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

1353140232 is a wasteful number, since it uses less digits than its factorization.

1353140232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 1353140232 is about 36785.0544650949. The cubic root of 1353140232 is about 1106.0657277542.

Adding to 1353140232 its reverse (2320413531), we get a palindrome (3673553763).

The spelling of 1353140232 in words is "one billion, three hundred fifty-three million, one hundred forty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 29 46 58 69 87 92 116 137 138 174 184 232 274 276 348 411 548 552 617 667 696 822 1096 1234 1334 1644 1851 2001 2468 2668 3151 3288 3702 3973 4002 4936 5336 6302 7404 7946 8004 9453 11919 12604 14191 14808 15892 16008 17893 18906 23838 25208 28382 31784 35786 37812 42573 47676 53679 56764 71572 75624 84529 85146 91379 95352 107358 113528 143144 169058 170292 182758 214716 253587 274137 338116 340584 365516 411539 429432 507174 548274 676232 731032 823078 1014348 1096548 1234617 1646156 1944167 2028696 2193096 2451341 2469234 3292312 3888334 4902682 4938468 5832501 7354023 7776668 9805364 9876936 11665002 14708046 15553336 19610728 23330004 29416092 46660008 56380843 58832184 112761686 169142529 225523372 338285058 451046744 676570116 1353140232