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8001390132 = 2232734496781
BaseRepresentation
bin1110111001110101…
…11000011000110100
3202122122000201210200
413130322320120310
5112341323441012
63401545320500
7402165460011
oct73472703064
922578021720
108001390132
11343663791a
121673796130
139a690ba98
1455c94a708
1531c6c23dc
hex1dceb8634

8001390132 has 72 divisors (see below), whose sum is σ = 20551494600. Its totient is φ = 2624348160.

The previous prime is 8001390127. The next prime is 8001390139. The reversal of 8001390132 is 2310931008.

It can be written as a sum of positive squares in 4 ways, for example, as 1512120996 + 6489269136 = 38886^2 + 80556^2 .

It is a junction number, because it is equal to n+sod(n) for n = 8001390096 and 8001390105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8001390139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1176582 + ... + 1183362.

It is an arithmetic number, because the mean of its divisors is an integer number (285437425).

Almost surely, 28001390132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8001390132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10275747300).

8001390132 is an abundant number, since it is smaller than the sum of its proper divisors (12550104468).

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

8001390132 is a wasteful number, since it uses less digits than its factorization.

8001390132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7313 (or 7308 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 8001390132 is about 89450.4898365571. The cubic root of 8001390132 is about 2000.1158376240.

The spelling of 8001390132 in words is "eight billion, one million, three hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 449 657 876 898 1314 1347 1796 2628 2694 4041 5388 6781 8082 13562 16164 20343 27124 32777 40686 61029 65554 81372 98331 122058 131108 196662 244116 294993 393324 495013 589986 990026 1179972 1485039 1980052 2970078 3044669 4455117 5940156 6089338 8910234 9134007 12178676 17820468 18268014 27402021 36536028 54804042 109608084 222260837 444521674 666782511 889043348 1333565022 2000347533 2667130044 4000695066 8001390132