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145297104 = 24319313509
BaseRepresentation
bin10001010100100…
…00111011010000
3101010101212011020
420222100323100
5244144001404
622230115440
73413001501
oct1052207320
9333355136
10145297104
117501a957
12407abb80
1324143424
1415422ba8
15cb50ed9
hex8a90ed0

145297104 has 80 divisors (see below), whose sum is σ = 397147200. Its totient is φ = 45646848.

The previous prime is 145297099. The next prime is 145297111. The reversal of 145297104 is 401792541.

It is a happy number.

It is a super-2 number, since 2×1452971042 = 42222496861573632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285202 + ... + 285710.

It is an arithmetic number, because the mean of its divisors is an integer number (4964340).

Almost surely, 2145297104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145297104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198573600).

145297104 is an abundant number, since it is smaller than the sum of its proper divisors (251850096).

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

145297104 is a wasteful number, since it uses less digits than its factorization.

145297104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 145297104 is about 12053.9248379936. The cubic root of 145297104 is about 525.7173612994.

The spelling of 145297104 in words is "one hundred forty-five million, two hundred ninety-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 313 456 509 626 912 939 1018 1252 1527 1878 2036 2504 3054 3756 4072 5008 5947 6108 7512 8144 9671 11894 12216 15024 17841 19342 23788 24432 29013 35682 38684 47576 58026 71364 77368 95152 116052 142728 154736 159317 232104 285456 318634 464208 477951 637268 955902 1274536 1911804 2549072 3027023 3823608 6054046 7647216 9081069 12108092 18162138 24216184 36324276 48432368 72648552 145297104