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145731840 = 283537951
BaseRepresentation
bin10001010111110…
…11000100000000
3101011012221111120
420223323010000
5244301404330
622243312240
73416462112
oct1053730400
9334187446
10145731840
1175297541
124097b680
1324266277
14154d73b2
15cbd9c10
hex8afb100

145731840 has 72 divisors (see below), whose sum is σ = 465443328. Its totient is φ = 38860800.

The previous prime is 145731827. The next prime is 145731851. The reversal of 145731840 is 48137541.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15136 + ... + 22815.

Almost surely, 2145731840 is an apocalyptic number.

145731840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145731840 is an abundant number, since it is smaller than the sum of its proper divisors (319711488).

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

145731840 is an equidigital number, since it uses as much as digits as its factorization.

145731840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37975 (or 37961 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 145731840 is about 12071.9443338677. The cubic root of 145731840 is about 526.2411632017.

The spelling of 145731840 in words is "one hundred forty-five million, seven hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 37951 75902 113853 151804 189755 227706 303608 379510 455412 569265 607216 759020 910824 1138530 1214432 1518040 1821648 2277060 2428864 3036080 3643296 4554120 4857728 6072160 7286592 9108240 9715456 12144320 14573184 18216480 24288640 29146368 36432960 48577280 72865920 145731840