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145992580 = 225191632357
BaseRepresentation
bin10001011001110…
…10101110000100
3101011201012011121
420230322232010
5244333230310
622253043324
73421626226
oct1054725604
9334635147
10145992580
1175455428
1240a86544
1324327b56
1415564416
15cc3c0da
hex8b3ab84

145992580 has 48 divisors (see below), whose sum is σ = 324838080. Its totient is φ = 54960768.

The previous prime is 145992551. The next prime is 145992593. The reversal of 145992580 is 85299541.

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 15 ways as a sum of consecutive naturals, for example, 60762 + ... + 63118.

It is an arithmetic number, because the mean of its divisors is an integer number (6767460).

Almost surely, 2145992580 is an apocalyptic number.

145992580 is a gapful number since it is divisible by the number (10) 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 145992580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162419040).

145992580 is an abundant number, since it is smaller than the sum of its proper divisors (178845500).

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

145992580 is a wasteful number, since it uses less digits than its factorization.

145992580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2548 (or 2546 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 43.

The square root of 145992580 is about 12082.7389279087. The cubic root of 145992580 is about 526.5548223396.

The spelling of 145992580 in words is "one hundred forty-five million, nine hundred ninety-two thousand, five hundred eighty".

Divisors: 1 2 4 5 10 19 20 38 76 95 163 190 326 380 652 815 1630 2357 3097 3260 4714 6194 9428 11785 12388 15485 23570 30970 44783 47140 61940 89566 179132 223915 384191 447830 768382 895660 1536764 1920955 3841910 7299629 7683820 14599258 29198516 36498145 72996290 145992580