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145992820 = 22515114831
BaseRepresentation
bin10001011001110…
…10110001110100
3101011201012111111
420230322301310
5244333232240
622253044404
73421630021
oct1054726164
9334635444
10145992820
1175455626
1240a86704
1324327cac
1415564548
15cc3c1ea
hex8b3ac74

145992820 has 24 divisors (see below), whose sum is σ = 306851328. Its totient is φ = 58346400.

The previous prime is 145992811. The next prime is 145992823. The reversal of 145992820 is 28299541.

145992820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145992823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27805 + ... + 32635.

It is an arithmetic number, because the mean of its divisors is an integer number (12785472).

Almost surely, 2145992820 is an apocalyptic number.

145992820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145992820 is an abundant number, since it is smaller than the sum of its proper divisors (160858508).

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

145992820 is a wasteful number, since it uses less digits than its factorization.

145992820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6349 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 40.

The square root of 145992820 is about 12082.7488594276. The cubic root of 145992820 is about 526.5551108773. Note that the first 3 decimals are identical.

The spelling of 145992820 in words is "one hundred forty-five million, nine hundred ninety-two thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 1511 3022 4831 6044 7555 9662 15110 19324 24155 30220 48310 96620 7299641 14599282 29198564 36498205 72996410 145992820