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145807038 = 23213623107
BaseRepresentation
bin10001011000011…
…01011010111110
3101011100202122200
420230031122332
5244311311123
622245052330
73420224256
oct1054153276
9334322580
10145807038
1175338a93
12409b70a6
1324291570
1415516966
15cc02143
hex8b0d6be

145807038 has 24 divisors (see below), whose sum is σ = 340216968. Its totient is φ = 44863632.

The previous prime is 145807037. The next prime is 145807069. The reversal of 145807038 is 830708541.

145807038 is a `hidden beast` number, since 1 + 4 + 580 + 70 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 145806993 and 145807011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145807031) 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, 311320 + ... + 311787.

It is an arithmetic number, because the mean of its divisors is an integer number (14175707).

Almost surely, 2145807038 is an apocalyptic number.

145807038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

145807038 is an abundant number, since it is smaller than the sum of its proper divisors (194409930).

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

145807038 is a wasteful number, since it uses less digits than its factorization.

145807038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623128 (or 623125 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145807038 is about 12075.0585091750. The cubic root of 145807038 is about 526.3316615638.

The spelling of 145807038 in words is "one hundred forty-five million, eight hundred seven thousand, thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 623107 1246214 1869321 3738642 5607963 8100391 11215926 16200782 24301173 48602346 72903519 145807038