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145480104 = 23337118747
BaseRepresentation
bin10001010101111…
…01100110101000
3101010202011012000
420222331212220
5244220330404
622234051000
73414363150
oct1052754650
9333664160
10145480104
11751353a0
1240879a60
13241a8803
141546d760
15cb8a339
hex8abd9a8

145480104 has 128 divisors (see below), whose sum is σ = 503884800. Its totient is φ = 37782720.

The previous prime is 145480099. The next prime is 145480109. The reversal of 145480104 is 401084541.

It is a happy number.

145480104 is a `hidden beast` number, since 14 + 548 + 0 + 104 = 666.

145480104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145480099) and next prime (145480109).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (145480109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12259 + ... + 21005.

It is an arithmetic number, because the mean of its divisors is an integer number (3936600).

Almost surely, 2145480104 is an apocalyptic number.

145480104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145480104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251942400).

145480104 is an abundant number, since it is smaller than the sum of its proper divisors (358404696).

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

145480104 is a wasteful number, since it uses less digits than its factorization.

145480104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8780 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145480104 is about 12061.5133378859. The cubic root of 145480104 is about 525.9379803218.

It can be divided in two parts, 145 and 480104, that added together give a square (480249 = 6932).

The spelling of 145480104 in words is "one hundred forty-five million, four hundred eighty thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 27 28 33 36 42 44 54 56 63 66 72 77 84 88 99 108 126 132 154 168 189 198 216 231 252 264 297 308 378 396 462 504 594 616 693 756 792 924 1188 1386 1512 1848 2079 2376 2772 4158 5544 8316 8747 16632 17494 26241 34988 52482 61229 69976 78723 96217 104964 122458 157446 183687 192434 209928 236169 244916 288651 314892 367374 384868 472338 489832 551061 577302 629784 673519 734748 769736 865953 944676 1102122 1154604 1347038 1469496 1653183 1731906 1889352 2020557 2204244 2309208 2597859 2694076 3306366 3463812 4041114 4408488 5195718 5388152 6061671 6612732 6927624 8082228 10391436 12123342 13225464 16164456 18185013 20782872 24246684 36370026 48493368 72740052 145480104