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150051400 = 23527110567
BaseRepresentation
bin10001111000110…
…01101001001000
3101110100101211021
420330121221020
5301403121100
622520042224
73501262432
oct1074315110
9343311737
10150051400
1177777924
1242303374
1325119415
1415cdd652
15d28ea1a
hex8f19a48

150051400 has 48 divisors (see below), whose sum is σ = 353816640. Its totient is φ = 59169600.

The previous prime is 150051383. The next prime is 150051403. The reversal of 150051400 is 4150051.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (150051403) 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, 8917 + ... + 19483.

It is an arithmetic number, because the mean of its divisors is an integer number (7371180).

Almost surely, 2150051400 is an apocalyptic number.

150051400 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 150051400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176908320).

150051400 is an abundant number, since it is smaller than the sum of its proper divisors (203765240).

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

150051400 is a wasteful number, since it uses less digits than its factorization.

150051400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10654 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 150051400 is about 12249.5469303971. The cubic root of 150051400 is about 531.3899672721.

It can be divided in two parts, 1500 and 51400, that added together give a square (52900 = 2302).

The spelling of 150051400 in words is "one hundred fifty million, fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 142 200 284 355 568 710 1420 1775 2840 3550 7100 10567 14200 21134 42268 52835 84536 105670 211340 264175 422680 528350 750257 1056700 1500514 2113400 3001028 3751285 6002056 7502570 15005140 18756425 30010280 37512850 75025700 150051400