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152400104 = 23172292273
BaseRepresentation
bin10010001010101…
…11000011101000
3101121202201122022
421011113003220
5303003300404
623042244012
73530244113
oct1105270350
9347681568
10152400104
11790314aa
1243056608
132575c49c
141635157a
15d5a58be
hex91570e8

152400104 has 48 divisors (see below), whose sum is σ = 314153100. Its totient is φ = 69214208.

The previous prime is 152400103. The next prime is 152400119. The reversal of 152400104 is 401004251.

It can be written as a sum of positive squares in 6 ways, for example, as 142802500 + 9597604 = 11950^2 + 3098^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (152400103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65912 + ... + 68184.

Almost surely, 2152400104 is an apocalyptic number.

It is an amenable number.

152400104 is an abundant number, since it is smaller than the sum of its proper divisors (161752996).

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

152400104 is a wasteful number, since it uses less digits than its factorization.

152400104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2342 (or 2321 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 152400104 is about 12345.0437018263. The cubic root of 152400104 is about 534.1481818376.

Adding to 152400104 its reverse (401004251), we get a palindrome (553404355).

The spelling of 152400104 in words is "one hundred fifty-two million, four hundred thousand, one hundred four".

Divisors: 1 2 4 8 17 29 34 58 68 116 136 232 289 493 578 986 1156 1972 2273 2312 3944 4546 8381 9092 16762 18184 33524 38641 65917 67048 77282 131834 154564 263668 309128 527336 656897 1120589 1313794 2241178 2627588 4482356 5255176 8964712 19050013 38100026 76200052 152400104