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151709540 = 22529325889
BaseRepresentation
bin10010000101011…
…10011101100100
3101120110122100212
421002232131210
5302314201130
623015354552
73521336603
oct1102563544
9346418325
10151709540
11786aa694
1242982a58
132557a078
1416211a3a
15d4bae95
hex90ae764

151709540 has 24 divisors (see below), whose sum is σ = 319689720. Its totient is φ = 60474368.

The previous prime is 151709539. The next prime is 151709573. The reversal of 151709540 is 45907151.

It can be written as a sum of positive squares in 4 ways, for example, as 90744676 + 60964864 = 9526^2 + 7808^2 .

It is a junction number, because it is equal to n+sod(n) for n = 151709497 and 151709506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7085 + ... + 18804.

It is an arithmetic number, because the mean of its divisors is an integer number (13320405).

Almost surely, 2151709540 is an apocalyptic number.

151709540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151709540 is an abundant number, since it is smaller than the sum of its proper divisors (167980180).

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

151709540 is a wasteful number, since it uses less digits than its factorization.

151709540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26191 (or 26189 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 151709540 is about 12317.0426645360. The cubic root of 151709540 is about 533.3401726553.

The spelling of 151709540 in words is "one hundred fifty-one million, seven hundred nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 293 586 1172 1465 2930 5860 25889 51778 103556 129445 258890 517780 7585477 15170954 30341908 37927385 75854770 151709540