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150355400 = 23521357829
BaseRepresentation
bin10001111011000…
…11110111001000
3101110220211211112
420331203313020
5301442333100
622530345452
73503666636
oct1075436710
9343824745
10150355400
1177965268
124242b288
13251c48c0
1415d7c356
15d2eeb35
hex8f63dc8

150355400 has 48 divisors (see below), whose sum is σ = 376473300. Its totient is φ = 55514880.

The previous prime is 150355369. The next prime is 150355409. The reversal of 150355400 is 4553051.

It can be written as a sum of positive squares in 6 ways, for example, as 29311396 + 121044004 = 5414^2 + 11002^2 .

It is not an unprimeable number, because it can be changed into a prime (150355409) 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, 26315 + ... + 31514.

Almost surely, 2150355400 is an apocalyptic number.

150355400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

150355400 is an abundant number, since it is smaller than the sum of its proper divisors (226117900).

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

150355400 is a wasteful number, since it uses less digits than its factorization.

150355400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57858 (or 57849 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 23.

The square root of 150355400 is about 12261.9492740755. The cubic root of 150355400 is about 531.7485856724.

The spelling of 150355400 in words is "one hundred fifty million, three hundred fifty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2600 57829 115658 231316 289145 462632 578290 751777 1156580 1445725 1503554 2313160 2891450 3007108 3758885 5782900 6014216 7517770 11565800 15035540 18794425 30071080 37588850 75177700 150355400