Search a number
-
+
152831712 = 25311259223
BaseRepresentation
bin10010001110000…
…00011011100000
3101122120122200210
421013000123200
5303111103322
623055414120
73534022335
oct1107003340
9348518623
10152831712
11792a6800
1243224340
1325880a87
141642498c
15d63d70c
hex91c06e0

152831712 has 144 divisors (see below), whose sum is σ = 450455040. Its totient is φ = 45323520.

The previous prime is 152831699. The next prime is 152831713. The reversal of 152831712 is 217138251.

It is a self number, because there is not a number n which added to its sum of digits gives 152831712.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (152831713) 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, 685233 + ... + 685455.

It is an arithmetic number, because the mean of its divisors is an integer number (3128160).

Almost surely, 2152831712 is an apocalyptic number.

152831712 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 152831712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225227520).

152831712 is an abundant number, since it is smaller than the sum of its proper divisors (297623328).

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

152831712 is a wasteful number, since it uses less digits than its factorization.

152831712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its digits is 3360, while the sum is 30.

The square root of 152831712 is about 12362.5123660201. The cubic root of 152831712 is about 534.6519551870.

Adding to 152831712 its reverse (217138251), we get a palindrome (369969963).

The spelling of 152831712 in words is "one hundred fifty-two million, eight hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 59 66 88 96 118 121 132 176 177 223 236 242 264 352 354 363 446 472 484 528 649 669 708 726 892 944 968 1056 1298 1338 1416 1452 1784 1888 1936 1947 2453 2596 2676 2832 2904 3568 3872 3894 4906 5192 5352 5664 5808 7136 7139 7359 7788 9812 10384 10704 11616 13157 14278 14718 15576 19624 20768 21408 21417 26314 26983 28556 29436 31152 39248 39471 42834 52628 53966 57112 58872 62304 78496 78942 80949 85668 105256 107932 114224 117744 144727 157884 161898 171336 210512 215864 228448 235488 289454 315768 323796 342672 421024 431728 434181 578908 631536 647592 685344 863456 868362 1157816 1263072 1295184 1591997 1736724 2315632 2590368 3183994 3473448 4631264 4775991 6367988 6946896 9551982 12735976 13893792 19103964 25471952 38207928 50943904 76415856 152831712