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150146970 = 23543239487
BaseRepresentation
bin10001111001100…
…00111110011010
3101110112020220220
420330300332122
5301414200340
622522100510
73502141161
oct1074607632
9343466826
10150146970
1177832706
124234a736
1325150a7c
1415d263d8
15d2aced0
hex8f30f9a

150146970 has 64 divisors (see below), whose sum is σ = 371036160. Its totient is φ = 38864448.

The previous prime is 150146959. The next prime is 150146977. The reversal of 150146970 is 79641051.

150146970 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1501469702 = 45088225200361800, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (150146977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308067 + ... + 308553.

It is an arithmetic number, because the mean of its divisors is an integer number (5797440).

Almost surely, 2150146970 is an apocalyptic number.

150146970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150146970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185518080).

150146970 is an abundant number, since it is smaller than the sum of its proper divisors (220889190).

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

150146970 is a wasteful number, since it uses less digits than its factorization.

150146970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779.

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 150146970 is about 12253.4472700543. The cubic root of 150146970 is about 531.5027600909.

The spelling of 150146970 in words is "one hundred fifty million, one hundred forty-six thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 10 15 30 43 86 129 215 239 258 430 478 487 645 717 974 1195 1290 1434 1461 2390 2435 2922 3585 4870 7170 7305 10277 14610 20554 20941 30831 41882 51385 61662 62823 102770 104705 116393 125646 154155 209410 232786 308310 314115 349179 581965 628230 698358 1163930 1745895 3491790 5004899 10009798 15014697 25024495 30029394 50048990 75073485 150146970