Search a number
-
+
150002280 = 2334567691
BaseRepresentation
bin10001111000011…
…01101001101000
3101110020220110000
420330031221220
5301400033110
622515023000
73500666301
oct1074155150
9343226400
10150002280
1177743a2a
124229aa60
13250ccc5c
1415cc97a8
15d2801c0
hex8f0da68

150002280 has 160 divisors (see below), whose sum is σ = 512439840. Its totient is φ = 39346560.

The previous prime is 150002269. The next prime is 150002309. The reversal of 150002280 is 82200051.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 39 ways as a sum of consecutive naturals, for example, 216735 + ... + 217425.

It is an arithmetic number, because the mean of its divisors is an integer number (3202749).

Almost surely, 2150002280 is an apocalyptic number.

150002280 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 150002280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256219920).

150002280 is an abundant number, since it is smaller than the sum of its proper divisors (362437560).

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

150002280 is a wasteful number, since it uses less digits than its factorization.

150002280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 781 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 150002280 is about 12247.5417941724. The cubic root of 150002280 is about 531.3319766460.

The spelling of 150002280 in words is "one hundred fifty million, two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 67 72 81 90 108 120 134 135 162 180 201 216 268 270 324 335 360 402 405 536 540 603 648 670 691 804 810 1005 1080 1206 1340 1382 1608 1620 1809 2010 2073 2412 2680 2764 3015 3240 3455 3618 4020 4146 4824 5427 5528 6030 6219 6910 7236 8040 8292 9045 10365 10854 12060 12438 13820 14472 16584 18090 18657 20730 21708 24120 24876 27135 27640 31095 36180 37314 41460 43416 46297 49752 54270 55971 62190 72360 74628 82920 92594 93285 108540 111942 124380 138891 149256 185188 186570 217080 223884 231485 248760 277782 279855 370376 373140 416673 447768 462970 555564 559710 694455 746280 833346 925940 1111128 1119420 1250019 1388910 1666692 1851880 2083365 2238840 2500038 2777820 3333384 3750057 4166730 5000076 5555640 6250095 7500114 8333460 10000152 12500190 15000228 16666920 18750285 25000380 30000456 37500570 50000760 75001140 150002280