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154400157 = 3270124473
BaseRepresentation
bin10010011001111…
…11010110011101
3101202112100012100
421030333112131
5304011301112
623153155313
73553244142
oct1114772635
9352470170
10154400157
117a17813a
124385bb39
1325cac952
14167123c9
15d84d2dc
hex933f59d

154400157 has 12 divisors (see below), whose sum is σ = 223349724. Its totient is φ = 102782400.

The previous prime is 154400117. The next prime is 154400167. The reversal of 154400157 is 751004451.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 127712601 + 26687556 = 11301^2 + 5166^2 .

It is not a de Polignac number, because 154400157 - 211 = 154398109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 154400157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (154400107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5928 + ... + 18545.

It is an arithmetic number, because the mean of its divisors is an integer number (18612477).

Almost surely, 2154400157 is an apocalyptic number.

It is an amenable number.

154400157 is a deficient number, since it is larger than the sum of its proper divisors (68949567).

154400157 is a wasteful number, since it uses less digits than its factorization.

154400157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25180 (or 25177 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 154400157 is about 12425.7859711167. The cubic root of 154400157 is about 536.4747003620.

The spelling of 154400157 in words is "one hundred fifty-four million, four hundred thousand, one hundred fifty-seven".

Divisors: 1 3 9 701 2103 6309 24473 73419 220257 17155573 51466719 154400157