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145202500 = 22542412
BaseRepresentation
bin10001010011110…
…01110101000100
3101010020001101101
420221321311010
5244132440000
622224105444
73412125622
oct1051716504
9333201341
10145202500
1174a65873
1240765284
132410c351
14153da512
15cb32e6a
hex8a79d44

145202500 has 45 divisors (see below), whose sum is σ = 318851841. Its totient is φ = 57840000.

The previous prime is 145202471. The next prime is 145202557. The reversal of 145202500 is 5202541.

The square root of 145202500 is 12050.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 75446596 + 69755904 = 8686^2 + 8352^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 602380 + ... + 602620.

Almost surely, 2145202500 is an apocalyptic number.

145202500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145202500 is the 12050-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145202500

145202500 is an abundant number, since it is smaller than the sum of its proper divisors (173649341).

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

145202500 is an frugal number, since it uses more digits than its factorization.

145202500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The cubic root of 145202500 is about 525.6032370624.

Multiplying 145202500 by its product of nonzero digits (400), we get a square (58081000000 = 2410002).

It can be divided in two parts, 14520 and 2500, that added together give a triangular number (17020 = T184).

The spelling of 145202500 in words is "one hundred forty-five million, two hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 241 250 482 500 625 964 1205 1250 2410 2500 4820 6025 12050 24100 30125 58081 60250 116162 120500 150625 232324 290405 301250 580810 602500 1161620 1452025 2904050 5808100 7260125 14520250 29040500 36300625 72601250 145202500