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150130240 = 26513151239
BaseRepresentation
bin10001111001011…
…00111001000000
3101110111101222021
420330230321000
5301413131430
622521451224
73502041331
oct1074547100
9343441867
10150130240
1177821087
1242340b14
1325146280
1415d20288
15d2a807a
hex8f2ce40

150130240 has 112 divisors (see below), whose sum is σ = 389168640. Its totient is φ = 54835200.

The previous prime is 150130231. The next prime is 150130259. The reversal of 150130240 is 42031051.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 628041 + ... + 628279.

It is an arithmetic number, because the mean of its divisors is an integer number (3474720).

Almost surely, 2150130240 is an apocalyptic number.

150130240 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 150130240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194584320).

150130240 is an abundant number, since it is smaller than the sum of its proper divisors (239038400).

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

150130240 is a wasteful number, since it uses less digits than its factorization.

150130240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 150130240 is about 12252.7645860026. The cubic root of 150130240 is about 531.4830186081.

Adding to 150130240 its reverse (42031051), we get a palindrome (192161291).

The spelling of 150130240 in words is "one hundred fifty million, one hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 151 160 208 239 260 302 320 416 478 520 604 755 832 956 1040 1195 1208 1510 1912 1963 2080 2390 2416 3020 3107 3824 3926 4160 4780 4832 6040 6214 7648 7852 9560 9664 9815 12080 12428 15296 15535 15704 19120 19630 24160 24856 31070 31408 36089 38240 39260 48320 49712 62140 62816 72178 76480 78520 99424 124280 125632 144356 157040 180445 198848 248560 288712 314080 360890 469157 497120 577424 628160 721780 938314 994240 1154848 1443560 1876628 2309696 2345785 2887120 3753256 4691570 5774240 7506512 9383140 11548480 15013024 18766280 30026048 37532560 75065120 150130240