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145831020 = 2235113137157
BaseRepresentation
bin10001011000100…
…11010001101100
3101011101222112220
420230103101230
5244313043040
622245355340
73420354216
oct1054232154
9334358486
10145831020
1175355005
1240a08b50
132429c45a
14155215b6
15cc092d0
hex8b1346c

145831020 has 96 divisors (see below), whose sum is σ = 417590208. Its totient is φ = 38019072.

The previous prime is 145831013. The next prime is 145831027. The reversal of 145831020 is 20138541.

It is an interprime number because it is at equal distance from previous prime (145831013) and next prime (145831027).

It is not an unprimeable number, because it can be changed into a prime (145831027) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 928782 + ... + 928938.

It is an arithmetic number, because the mean of its divisors is an integer number (4349898).

Almost surely, 2145831020 is an apocalyptic number.

145831020 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 145831020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208795104).

145831020 is an abundant number, since it is smaller than the sum of its proper divisors (271759188).

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

145831020 is a wasteful number, since it uses less digits than its factorization.

145831020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145831020 is about 12076.0515070117. The cubic root of 145831020 is about 526.3605165814.

Adding to 145831020 its reverse (20138541), we get a palindrome (165969561).

The spelling of 145831020 in words is "one hundred forty-five million, eight hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 113 137 157 226 274 314 339 411 452 471 548 565 628 678 685 785 822 942 1130 1356 1370 1570 1644 1695 1884 2055 2260 2355 2740 3140 3390 4110 4710 6780 8220 9420 15481 17741 21509 30962 35482 43018 46443 53223 61924 64527 70964 77405 86036 88705 92886 106446 107545 129054 154810 177410 185772 212892 215090 232215 258108 266115 309620 322635 354820 430180 464430 532230 645270 928860 1064460 1290540 2430517 4861034 7291551 9722068 12152585 14583102 24305170 29166204 36457755 48610340 72915510 145831020