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150775380 = 223257177039
BaseRepresentation
bin10001111110010…
…10011001010100
3101111201011221100
420333022121110
5302044303010
622543350100
73510366240
oct1077123124
9344634840
10150775380
1178121858
12425b2330
1325310b02
141604b420
15d3842c0
hex8fca654

150775380 has 144 divisors (see below), whose sum is σ = 553512960. Its totient is φ = 32431104.

The previous prime is 150775369. The next prime is 150775399. The reversal of 150775380 is 83577051.

150775380 is a `hidden beast` number, since 1 + 50 + 77 + 538 + 0 = 666.

150775380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17901 + ... + 24939.

It is an arithmetic number, because the mean of its divisors is an integer number (3843840).

Almost surely, 2150775380 is an apocalyptic number.

150775380 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 150775380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276756480).

150775380 is an abundant number, since it is smaller than the sum of its proper divisors (402737580).

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

150775380 is a wasteful number, since it uses less digits than its factorization.

150775380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7078 (or 7073 counting only the distinct ones).

The product of its (nonzero) digits is 29400, while the sum is 36.

The square root of 150775380 is about 12279.0626678098. The cubic root of 150775380 is about 532.2432273905.

The spelling of 150775380 in words is "one hundred fifty million, seven hundred seventy-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7039 7140 10710 14078 21117 21420 28156 35195 42234 49273 63351 70390 84468 98546 105585 119663 126702 140780 147819 197092 211170 239326 246365 253404 295638 316755 358989 422340 443457 478652 492730 591276 598315 633510 717978 739095 837641 886914 985460 1076967 1196630 1267020 1435956 1478190 1675282 1773828 1794945 2153934 2217285 2393260 2512923 2956380 3350564 3589890 4188205 4307868 4434570 5025846 5384835 7179780 7538769 8376410 8869140 10051692 10769670 12564615 15077538 16752820 21539340 25129230 30155076 37693845 50258460 75387690 150775380