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151126016 = 2171153
BaseRepresentation
bin10010000001000…
…00000000000000
3101112100222220212
421000200000000
5302142013031
622555053252
73513356426
oct1100400000
9345328825
10151126016
1178341238
1242741228
13254045a2
14160dd116
15d40312b
hex9020000

151126016 has 36 divisors (see below), whose sum is σ = 302513022. Its totient is φ = 75497472.

The previous prime is 151126013. The next prime is 151126021. The reversal of 151126016 is 610621151.

It can be written as a sum of positive squares in only one way, i.e., 110166016 + 40960000 = 10496^2 + 6400^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151125982 and 151126000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151126013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 130496 + ... + 131648.

Almost surely, 2151126016 is an apocalyptic number.

151126016 is a gapful number since it is divisible by the number (16) 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 151126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151256511).

151126016 is an abundant number, since it is smaller than the sum of its proper divisors (151387006).

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

151126016 is an frugal number, since it uses more digits than its factorization.

151126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 151126016 is about 12293.3321764280. The cubic root of 151126016 is about 532.6554944225.

Adding to 151126016 its reverse (610621151), we get a palindrome (761747167).

The spelling of 151126016 in words is "one hundred fifty-one million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 1153 2048 2306 4096 4612 8192 9224 16384 18448 32768 36896 65536 73792 131072 147584 295168 590336 1180672 2361344 4722688 9445376 18890752 37781504 75563008 151126016