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145768380 = 223519127867
BaseRepresentation
bin10001011000000…
…11111110111100
3101011021210121220
420230003332330
5244304042010
622244153340
73420003462
oct1054037674
9334253556
10145768380
1175311a3a
1240998850
1324279aa4
1415506832
15cbe5970
hex8b03fbc

145768380 has 48 divisors (see below), whose sum is σ = 429636480. Its totient is φ = 36825408.

The previous prime is 145768373. The next prime is 145768393. The reversal of 145768380 is 83867541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62794 + ... + 65073.

It is an arithmetic number, because the mean of its divisors is an integer number (8950760).

Almost surely, 2145768380 is an apocalyptic number.

145768380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145768380 is an abundant number, since it is smaller than the sum of its proper divisors (283868100).

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

145768380 is a wasteful number, since it uses less digits than its factorization.

145768380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127898 (or 127896 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 145768380 is about 12073.4576654743. The cubic root of 145768380 is about 526.2851417979.

The spelling of 145768380 in words is "one hundred forty-five million, seven hundred sixty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 127867 255734 383601 511468 639335 767202 1278670 1534404 1918005 2429473 2557340 3836010 4858946 7288419 7672020 9717892 12147365 14576838 24294730 29153676 36442095 48589460 72884190 145768380