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154056330 = 2345892137
BaseRepresentation
bin10010010111010…
…11011010001010
3101201212212120000
421023223122022
5303414300310
623141543430
73550312551
oct1113533212
9351785500
10154056330
1179a6288a
1243714b76
1325bbc2bc
1416662d98
15d7d14c0
hex92eb68a

154056330 has 80 divisors (see below), whose sum is σ = 419090760. Its totient is φ = 40601088.

The previous prime is 154056317. The next prime is 154056347. The reversal of 154056330 is 33650451.

154056330 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57289761 + 96766569 = 7569^2 + 9837^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 154056294 and 154056303.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71022 + ... + 73158.

Almost surely, 2154056330 is an apocalyptic number.

154056330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 154056330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209545380).

154056330 is an abundant number, since it is smaller than the sum of its proper divisors (265034430).

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

154056330 is a wasteful number, since it uses less digits than its factorization.

154056330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 154056330 is about 12411.9430388638. The cubic root of 154056330 is about 536.0761870057.

The spelling of 154056330 in words is "one hundred fifty-four million, fifty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2137 2403 2670 4005 4274 4806 6411 7209 8010 10685 12015 12822 14418 19233 21370 24030 32055 36045 38466 57699 64110 72090 96165 115398 173097 190193 192330 288495 346194 380386 570579 576990 865485 950965 1141158 1711737 1730970 1901930 2852895 3423474 5135211 5705790 8558685 10270422 15405633 17117370 25676055 30811266 51352110 77028165 154056330