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145914984 = 233219106663
BaseRepresentation
bin10001011001001…
…11110001101000
3101011120020201200
420230213301220
5244323234414
622251244200
73421154055
oct1054476150
9334506650
10145914984
11754020a6
1240a49660
13242cb737
141554402c
15cc24109
hex8b27c68

145914984 has 48 divisors (see below), whose sum is σ = 415989600. Its totient is φ = 46077984.

The previous prime is 145914973. The next prime is 145915009. The reversal of 145914984 is 489419541.

It is a happy number.

145914984 is a `hidden beast` number, since 14 + 591 + 49 + 8 + 4 = 666.

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, 51964 + ... + 54699.

It is an arithmetic number, because the mean of its divisors is an integer number (8666450).

Almost surely, 2145914984 is an apocalyptic number.

It is an amenable number.

145914984 is an abundant number, since it is smaller than the sum of its proper divisors (270074616).

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

145914984 is a wasteful number, since it uses less digits than its factorization.

145914984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106694 (or 106687 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 145914984 is about 12079.5274742020. The cubic root of 145914984 is about 526.4615167095.

The spelling of 145914984 in words is "one hundred forty-five million, nine hundred fourteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 684 1368 106663 213326 319989 426652 639978 853304 959967 1279956 1919934 2026597 2559912 3839868 4053194 6079791 7679736 8106388 12159582 16212776 18239373 24319164 36478746 48638328 72957492 145914984