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145602736 = 24293111009
BaseRepresentation
bin10001010110110…
…11100010110000
3101010222101101221
420223123202300
5244233241421
622240434424
73415413526
oct1053334260
9333871357
10145602736
1175209544
1240918a14
132421c586
14154a2316
15cbb1841
hex8adb8b0

145602736 has 40 divisors (see below), whose sum is σ = 293061600. Its totient is φ = 69995520.

The previous prime is 145602731. The next prime is 145602749. The reversal of 145602736 is 637206541.

It is a happy number.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (145602731) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 143800 + ... + 144808.

It is an arithmetic number, because the mean of its divisors is an integer number (7326540).

Almost surely, 2145602736 is an apocalyptic number.

145602736 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 145602736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146530800).

145602736 is an abundant number, since it is smaller than the sum of its proper divisors (147458864).

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

145602736 is a wasteful number, since it uses less digits than its factorization.

145602736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1357 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 145602736 is about 12066.5958745621. The cubic root of 145602736 is about 526.0857180780.

The spelling of 145602736 in words is "one hundred forty-five million, six hundred two thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 29 58 116 232 311 464 622 1009 1244 2018 2488 4036 4976 8072 9019 16144 18038 29261 36076 58522 72152 117044 144304 234088 313799 468176 627598 1255196 2510392 5020784 9100171 18200342 36400684 72801368 145602736