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145350540 = 223251974099
BaseRepresentation
bin10001010100111…
…01111110001100
3101010111120110100
420222131332030
5244202204130
622231211100
73413313336
oct1052357614
9333446410
10145350540
1175057015
1240816a90
132416184a
1415438456
15cb61c60
hex8a9df8c

145350540 has 72 divisors (see below), whose sum is σ = 443242800. Its totient is φ = 38553984.

The previous prime is 145350533. The next prime is 145350559. The reversal of 145350540 is 45053541.

It is a super-2 number, since 2×1453505402 = 42253558956583200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33411 + ... + 37509.

It is an arithmetic number, because the mean of its divisors is an integer number (6156150).

Almost surely, 2145350540 is an apocalyptic number.

145350540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145350540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221621400).

145350540 is an abundant number, since it is smaller than the sum of its proper divisors (297892260).

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

145350540 is a wasteful number, since it uses less digits than its factorization.

145350540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4311 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 145350540 is about 12056.1411736924. The cubic root of 145350540 is about 525.7818011931.

The spelling of 145350540 in words is "one hundred forty-five million, three hundred fifty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 788 985 1182 1773 1970 2364 2955 3546 3940 4099 5910 7092 8198 8865 11820 12297 16396 17730 20495 24594 35460 36891 40990 49188 61485 73782 81980 122970 147564 184455 245940 368910 737820 807503 1615006 2422509 3230012 4037515 4845018 7267527 8075030 9690036 12112545 14535054 16150060 24225090 29070108 36337635 48450180 72675270 145350540