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145573100 = 2252472659
BaseRepresentation
bin10001010110101…
…00010011101100
3101010220212202022
420223110103230
5244231314400
622240045312
73415231241
oct1053242354
9333825668
10145573100
1175199252
1240903838
132420bc3a
14154955c8
15cba7b85
hex8ad44ec

145573100 has 54 divisors (see below), whose sum is σ = 323247540. Its totient is φ = 56903840.

The previous prime is 145573073. The next prime is 145573123. The reversal of 145573100 is 1375541.

It is a super-2 number, since 2×1455731002 = 42383054887220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145573100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 220571 + ... + 221229.

Almost surely, 2145573100 is an apocalyptic number.

145573100 is a gapful number since it is divisible by the number (10) 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 145573100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161623770).

145573100 is an abundant number, since it is smaller than the sum of its proper divisors (177674440).

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

145573100 is a wasteful number, since it uses less digits than its factorization.

145573100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 145573100 is about 12065.3677938138. The cubic root of 145573100 is about 526.0500224707.

The spelling of 145573100 in words is "one hundred forty-five million, five hundred seventy-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 47 50 94 100 188 235 470 659 940 1175 1318 2209 2350 2636 3295 4418 4700 6590 8836 11045 13180 16475 22090 30973 32950 44180 55225 61946 65900 110450 123892 154865 220900 309730 619460 774325 1455731 1548650 2911462 3097300 5822924 7278655 14557310 29114620 36393275 72786550 145573100