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145880200 = 23526531117
BaseRepresentation
bin10001011000111…
…11010010001000
3101011111111000101
420230133102020
5244321131300
622250415144
73420650464
oct1054372210
9334444011
10145880200
1175388a54
1240a314b4
13242b895b
14155354a4
15cc18b6a
hex8b1f488

145880200 has 48 divisors (see below), whose sum is σ = 339994980. Its totient is φ = 58210560.

The previous prime is 145880197. The next prime is 145880249. The reversal of 145880200 is 2088541.

It can be written as a sum of positive squares in 6 ways, for example, as 6687396 + 139192804 = 2586^2 + 11798^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130042 + ... + 131158.

Almost surely, 2145880200 is an apocalyptic number.

145880200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145880200 is an abundant number, since it is smaller than the sum of its proper divisors (194114780).

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

145880200 is a wasteful number, since it uses less digits than its factorization.

145880200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1777 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 28.

The square root of 145880200 is about 12078.0875969667. The cubic root of 145880200 is about 526.4196798074.

The spelling of 145880200 in words is "one hundred forty-five million, eight hundred eighty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 653 1117 1306 2234 2612 3265 4468 5224 5585 6530 8936 11170 13060 16325 22340 26120 27925 32650 44680 55850 65300 111700 130600 223400 729401 1458802 2917604 3647005 5835208 7294010 14588020 18235025 29176040 36470050 72940100 145880200