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145584840 = 23351963853
BaseRepresentation
bin10001010110101…
…11001011001000
3101010221110212010
420223113023020
5244232203330
622240215520
73415310412
oct1053271310
9333843763
10145584840
11751a7055
124090a5a0
132421439b
14154999b2
15cbab3b0
hex8ad72c8

145584840 has 64 divisors (see below), whose sum is σ = 459748800. Its totient is φ = 36778752.

The previous prime is 145584833. The next prime is 145584851. The reversal of 145584840 is 48485541.

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 15 ways as a sum of consecutive naturals, for example, 29647 + ... + 34206.

It is an arithmetic number, because the mean of its divisors is an integer number (7183575).

Almost surely, 2145584840 is an apocalyptic number.

145584840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145584840 is an abundant number, since it is smaller than the sum of its proper divisors (314163960).

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

145584840 is a wasteful number, since it uses less digits than its factorization.

145584840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63886 (or 63882 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

The square root of 145584840 is about 12065.8543004629. The cubic root of 145584840 is about 526.0641635019.

The spelling of 145584840 in words is "one hundred forty-five million, five hundred eighty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 380 456 570 760 1140 2280 63853 127706 191559 255412 319265 383118 510824 638530 766236 957795 1213207 1277060 1532472 1915590 2426414 2554120 3639621 3831180 4852828 6066035 7279242 7662360 9705656 12132070 14558484 18198105 24264140 29116968 36396210 48528280 72792420 145584840