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145506416 = 24111316311
BaseRepresentation
bin10001010110001…
…00000001110000
3101010210111021112
420223010001300
5244222201131
622234412452
73414532646
oct1053040160
9333714245
10145506416
1175153140
1240891128
13241b7793
1415479196
15cb9302b
hex8ac4070

145506416 has 40 divisors (see below), whose sum is σ = 309944448. Its totient is φ = 65624000.

The previous prime is 145506353. The next prime is 145506433. The reversal of 145506416 is 614605541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19901 + ... + 26211.

Almost surely, 2145506416 is an apocalyptic number.

145506416 is a gapful number since it is divisible by the number (16) 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 145506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154972224).

145506416 is an abundant number, since it is smaller than the sum of its proper divisors (164438032).

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

145506416 is a wasteful number, since it uses less digits than its factorization.

145506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6461 (or 6455 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 145506416 is about 12062.6040306395. The cubic root of 145506416 is about 525.9696860226.

The spelling of 145506416 in words is "one hundred forty-five million, five hundred six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 131 176 262 524 1048 1441 2096 2882 5764 6311 11528 12622 23056 25244 50488 69421 100976 138842 277684 555368 826741 1110736 1653482 3306964 6613928 9094151 13227856 18188302 36376604 72753208 145506416