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150655400 = 23527215373
BaseRepresentation
bin10001111101011…
…01000110101000
3101111111002100122
420332231012220
5302031433100
622541022412
73506356400
oct1076550650
9344432318
10150655400
117804a6a5
1242554a08
132529b30c
1416019800
15d35d985
hex8fad1a8

150655400 has 72 divisors (see below), whose sum is σ = 407487870. Its totient is φ = 51649920.

The previous prime is 150655399. The next prime is 150655403. The reversal of 150655400 is 4556051.

150655400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 63457156 + 87198244 = 7966^2 + 9338^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 150655400.

It is not an unprimeable number, because it can be changed into a prime (150655403) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2114 + ... + 17486.

Almost surely, 2150655400 is an apocalyptic number.

150655400 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 150655400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203743935).

150655400 is an abundant number, since it is smaller than the sum of its proper divisors (256832470).

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

150655400 is a wasteful number, since it uses less digits than its factorization.

150655400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15403 (or 15387 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 150655400 is about 12274.1761434322. The cubic root of 150655400 is about 532.1020118321.

The spelling of 150655400 in words is "one hundred fifty million, six hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 15373 30746 61492 76865 107611 122984 153730 215222 307460 384325 430444 538055 614920 753277 768650 860888 1076110 1506554 1537300 2152220 2690275 3013108 3074600 3766385 4304440 5380550 6026216 7532770 10761100 15065540 18831925 21522200 30131080 37663850 75327700 150655400