Search a number
-
+
145836972 = 223213033109
BaseRepresentation
bin10001011000101…
…00101110101100
3101011102021201100
420230110232230
5244313240342
622245443100
73420410451
oct1054245654
9334367640
10145836972
1175359526
1240a10490
13242a2088
1415523828
15cc0ae4c
hex8b14bac

145836972 has 36 divisors (see below), whose sum is σ = 369045040. Its totient is φ = 48559392.

The previous prime is 145836961. The next prime is 145836983. The reversal of 145836972 is 279638541.

145836972 is a `hidden beast` number, since 1 + 4 + 583 + 69 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (145836961) and next prime (145836983).

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

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, 45354 + ... + 48462.

Almost surely, 2145836972 is an apocalyptic number.

145836972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

145836972 is an abundant number, since it is smaller than the sum of its proper divisors (223208068).

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

145836972 is a wasteful number, since it uses less digits than its factorization.

145836972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4422 (or 4417 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 145836972 is about 12076.2979426644. The cubic root of 145836972 is about 526.3676775068.

The spelling of 145836972 in words is "one hundred forty-five million, eight hundred thirty-six thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 1303 2606 3109 3909 5212 6218 7818 9327 11727 12436 15636 18654 23454 27981 37308 46908 55962 111924 4051027 8102054 12153081 16204108 24306162 36459243 48612324 72918486 145836972