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150418368 = 26321132311
BaseRepresentation
bin10001111011100…
…11001111000000
3101111001001012200
420331303033000
5302001341433
622531553200
73504351342
oct1075631700
9344031180
10150418368
11779a8601
124245b800
1325217469
1415d97292
15d313613
hex8f733c0

150418368 has 84 divisors (see below), whose sum is σ = 435150768. Its totient is φ = 49674240.

The previous prime is 150418361. The next prime is 150418393. The reversal of 150418368 is 863814051.

150418368 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 not an unprimeable number, because it can be changed into a prime (150418361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 63933 + ... + 66243.

Almost surely, 2150418368 is an apocalyptic number.

150418368 is a gapful number since it is divisible by the number (18) 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 150418368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217575384).

150418368 is an abundant number, since it is smaller than the sum of its proper divisors (284732400).

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

150418368 is a wasteful number, since it uses less digits than its factorization.

150418368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2442 (or 2429 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 150418368 is about 12264.5166231695. The cubic root of 150418368 is about 531.8228064228.

It can be divided in two parts, 15041 and 8368, that added together give a square (23409 = 1532).

The spelling of 150418368 in words is "one hundred fifty million, four hundred eighteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 144 192 226 288 339 452 576 678 904 1017 1356 1808 2034 2311 2712 3616 4068 4622 5424 6933 7232 8136 9244 10848 13866 16272 18488 20799 21696 27732 32544 36976 41598 55464 65088 73952 83196 110928 147904 166392 221856 261143 332784 443712 522286 665568 783429 1044572 1331136 1566858 2089144 2350287 3133716 4178288 4700574 6267432 8356576 9401148 12534864 16713152 18802296 25069728 37604592 50139456 75209184 150418368