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151320 = 23351397
BaseRepresentation
bin100100111100011000
321200120110
4210330120
514320240
63124320
71200111
oct447430
9250513
10151320
11a3764
12736a0
1353b50
143d208
152ec80
hex24f18

151320 has 64 divisors (see below), whose sum is σ = 493920. Its totient is φ = 36864.

The previous prime is 151303. The next prime is 151337. The reversal of 151320 is 23151.

It is a Cunningham number, because it is equal to 3892-1.

It is an interprime number because it is at equal distance from previous prime (151303) and next prime (151337).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 151296 and 151305.

It is a congruent number.

It is an unprimeable number.

151320 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512 + ... + 1608.

2151320 is an apocalyptic number.

151320 is a gapful number since it is divisible by the number (10) 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 151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246960).

151320 is an abundant number, since it is smaller than the sum of its proper divisors (342600).

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

151320 is a wasteful number, since it uses less digits than its factorization.

151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 151320 is about 388.9987146508. The cubic root of 151320 is about 53.2883300920.

Adding to 151320 its reverse (23151), we get a palindrome (174471).

The spelling of 151320 in words is "one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 97 104 120 130 156 194 195 260 291 312 388 390 485 520 582 776 780 970 1164 1261 1455 1560 1940 2328 2522 2910 3783 3880 5044 5820 6305 7566 10088 11640 12610 15132 18915 25220 30264 37830 50440 75660 151320