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145812880 = 2451822661
BaseRepresentation
bin10001011000011…
…10110110010000
3101011101001200001
420230032312100
5244312003010
622245135344
73420250303
oct1054166620
9334331601
10145812880
1175342414
12409ba554
1324294115
1415518b3a
15cc03c3a
hex8b0ed90

145812880 has 20 divisors (see below), whose sum is σ = 339015132. Its totient is φ = 58325120.

The previous prime is 145812857. The next prime is 145812881. The reversal of 145812880 is 88218541.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 77651344 + 68161536 = 8812^2 + 8256^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×1458128802 = 42522791947788800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (145812881) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 911251 + ... + 911410.

Almost surely, 2145812880 is an apocalyptic number.

145812880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145812880 is an abundant number, since it is smaller than the sum of its proper divisors (193202252).

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

145812880 is a wasteful number, since it uses less digits than its factorization.

145812880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822674 (or 1822668 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 37.

The square root of 145812880 is about 12075.3004103418. The cubic root of 145812880 is about 526.3386909193.

The spelling of 145812880 in words is "one hundred forty-five million, eight hundred twelve thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 1822661 3645322 7290644 9113305 14581288 18226610 29162576 36453220 72906440 145812880