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145261140 = 22353476977
BaseRepresentation
bin10001010100010…
…00001001010100
3101010100000211020
420222020021110
5244141324030
622225241140
73412461603
oct1052101124
9333300736
10145261140
1174aa5932
12407931b0
132412cc4b
1415413a3a
15cb45510
hex8a88254

145261140 has 48 divisors (see below), whose sum is σ = 407961792. Its totient is φ = 38619136.

The previous prime is 145261121. The next prime is 145261147. The reversal of 145261140 is 41162541.

It is a happy number.

It is a super-2 number, since 2×1452611402 = 42201597588199200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 145261140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145261147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17332 + ... + 24308.

It is an arithmetic number, because the mean of its divisors is an integer number (8499204).

Almost surely, 2145261140 is an apocalyptic number.

145261140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145261140 is an abundant number, since it is smaller than the sum of its proper divisors (262700652).

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

145261140 is a wasteful number, since it uses less digits than its factorization.

145261140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7334 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145261140 is about 12052.4329494090. The cubic root of 145261140 is about 525.6739824597.

The spelling of 145261140 in words is "one hundred forty-five million, two hundred sixty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 347 694 1041 1388 1735 2082 3470 4164 5205 6940 6977 10410 13954 20820 20931 27908 34885 41862 69770 83724 104655 139540 209310 418620 2421019 4842038 7263057 9684076 12105095 14526114 24210190 29052228 36315285 48420380 72630570 145261140