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151893460 = 2257594673
BaseRepresentation
bin10010000110110…
…11010111010100
3101120210222122201
421003123113110
5302341042320
623023334244
73523034035
oct1103332724
9346728581
10151893460
1178815894
1242a51384
13256129b4
141625ca8c
15d50570a
hex90db5d4

151893460 has 12 divisors (see below), whose sum is σ = 318976308. Its totient is φ = 60757376.

The previous prime is 151893439. The next prime is 151893463. The reversal of 151893460 is 64398151.

151893460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 21659716 + 130233744 = 4654^2 + 11412^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151893463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3797317 + ... + 3797356.

It is an arithmetic number, because the mean of its divisors is an integer number (26581359).

Almost surely, 2151893460 is an apocalyptic number.

151893460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151893460 is an abundant number, since it is smaller than the sum of its proper divisors (167082848).

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

151893460 is a wasteful number, since it uses less digits than its factorization.

151893460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7594682 (or 7594680 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 151893460 is about 12324.5064809914. The cubic root of 151893460 is about 533.5556113411. Note that the first 3 decimals are identical.

The spelling of 151893460 in words is "one hundred fifty-one million, eight hundred ninety-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 7594673 15189346 30378692 37973365 75946730 151893460