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7152138 = 234721753
BaseRepresentation
bin11011010010001000001010
3111110100220000
4123102020022
53312332023
6413143430
7114535500
oct33221012
914410800
107152138
114045564
12248ab76
131635546
14d42670
15964243
hex6d220a

7152138 has 120 divisors (see below), whose sum is σ = 20111652. Its totient is φ = 1886976.

The previous prime is 7152097. The next prime is 7152139. The reversal of 7152138 is 8312517.

It can be written as a sum of positive squares in 2 ways, for example, as 6671889 + 480249 = 2583^2 + 693^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (7152139) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 134920 + ... + 134972.

Almost surely, 27152138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7152138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10055826).

7152138 is an abundant number, since it is smaller than the sum of its proper divisors (12959514).

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

7152138 is a wasteful number, since it uses less digits than its factorization.

7152138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 7152138 is about 2674.3481448757. The cubic root of 7152138 is about 192.6690525973.

The spelling of 7152138 in words is "seven million, one hundred fifty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 49 51 53 54 63 81 98 102 106 119 126 147 153 159 162 189 238 294 306 318 357 371 378 441 459 477 567 714 742 833 882 901 918 954 1071 1113 1134 1323 1377 1431 1666 1802 2142 2226 2499 2597 2646 2703 2754 2862 3213 3339 3969 4293 4998 5194 5406 6307 6426 6678 7497 7791 7938 8109 8586 9639 10017 12614 14994 15582 16218 18921 19278 20034 22491 23373 24327 30051 37842 44149 44982 46746 48654 56763 60102 67473 70119 72981 88298 113526 132447 134946 140238 145962 170289 210357 264894 340578 397341 420714 510867 794682 1021734 1192023 2384046 3576069 7152138