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150705920 = 285281419
BaseRepresentation
bin10001111101110…
…01011100000000
3101111120122122202
420332321130000
5302040042140
622542052332
73506656601
oct1076713400
9344518582
10150705920
1178084652
124257a0a8
13252b8301
141602dda8
15d36d915
hex8fb9700

150705920 has 72 divisors (see below), whose sum is σ = 363137040. Its totient is φ = 59924480.

The previous prime is 150705899. The next prime is 150705941. The reversal of 150705920 is 29507051.

It is an interprime number because it is at equal distance from previous prime (150705899) and next prime (150705941).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 359471 + ... + 359889.

It is an arithmetic number, because the mean of its divisors is an integer number (5043570).

Almost surely, 2150705920 is an apocalyptic number.

150705920 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 150705920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181568520).

150705920 is an abundant number, since it is smaller than the sum of its proper divisors (212431120).

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

150705920 is an equidigital number, since it uses as much as digits as its factorization.

150705920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 29.

The square root of 150705920 is about 12276.2339501982. The cubic root of 150705920 is about 532.1614826275.

The spelling of 150705920 in words is "one hundred fifty million, seven hundred five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 281 320 419 562 640 838 1124 1280 1405 1676 2095 2248 2810 3352 4190 4496 5620 6704 8380 8992 11240 13408 16760 17984 22480 26816 33520 35968 44960 53632 67040 71936 89920 107264 117739 134080 179840 235478 268160 359680 470956 536320 588695 941912 1177390 1883824 2354780 3767648 4709560 7535296 9419120 15070592 18838240 30141184 37676480 75352960 150705920