Search a number
-
+
147414420 = 22325818969
BaseRepresentation
bin10001100100101…
…01110110010100
3101021101102120100
420302111312110
5300214230140
622343334100
73440000436
oct1062256624
9337342510
10147414420
11762366aa
1241451330
132470508a
1415814656
15ce1d530
hex8c95d94

147414420 has 36 divisors (see below), whose sum is σ = 447157620. Its totient is φ = 39310464.

The previous prime is 147414367. The next prime is 147414439. The reversal of 147414420 is 24414741.

It can be written as a sum of positive squares in 2 ways, for example, as 46049796 + 101364624 = 6786^2 + 10068^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1474144202 = 43462022447872800, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 409305 + ... + 409664.

It is an arithmetic number, because the mean of its divisors is an integer number (12421045).

Almost surely, 2147414420 is an apocalyptic number.

147414420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

147414420 is an abundant number, since it is smaller than the sum of its proper divisors (299743200).

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

147414420 is a wasteful number, since it uses less digits than its factorization.

147414420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818984 (or 818979 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 147414420 is about 12141.4340174462. The cubic root of 147414420 is about 528.2586972646.

The spelling of 147414420 in words is "one hundred forty-seven million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 818969 1637938 2456907 3275876 4094845 4913814 7370721 8189690 9827628 12284535 14741442 16379380 24569070 29482884 36853605 49138140 73707210 147414420