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151026320 = 2454321021
BaseRepresentation
bin10010000000001…
…11101010010000
3101112011221011102
421000013222100
5302130320240
622553003532
73512462654
oct1100075220
9345157142
10151026320
1178283345
12426b35a8
132539b0b3
14160b4a64
15d3d3815
hex9007a90

151026320 has 60 divisors (see below), whose sum is σ = 359844156. Its totient is φ = 58947840.

The previous prime is 151026319. The next prime is 151026331. The reversal of 151026320 is 23620151.

It can be written as a sum of positive squares in 2 ways, for example, as 71031184 + 79995136 = 8428^2 + 8944^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 151026292 and 151026301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147410 + ... + 148430.

Almost surely, 2151026320 is an apocalyptic number.

151026320 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 151026320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179922078).

151026320 is an abundant number, since it is smaller than the sum of its proper divisors (208817836).

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

151026320 is a wasteful number, since it uses less digits than its factorization.

151026320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1120 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 151026320 is about 12289.2766263926. The cubic root of 151026320 is about 532.5383398670.

Adding to 151026320 its reverse (23620151), we get a palindrome (174646471).

The spelling of 151026320 in words is "one hundred fifty-one million, twenty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 43 80 86 172 215 344 430 688 860 1021 1720 1849 2042 3440 3698 4084 5105 7396 8168 9245 10210 14792 16336 18490 20420 29584 36980 40840 43903 73960 81680 87806 147920 175612 219515 351224 439030 702448 878060 1756120 1887829 3512240 3775658 7551316 9439145 15102632 18878290 30205264 37756580 75513160 151026320