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145439840 = 25572131427
BaseRepresentation
bin10001010101100…
…11110001100000
3101010200002221202
420222303301200
5244213033330
622233140332
73414134600
oct1052636140
9333602852
10145439840
1175108117
124085a6a8
13241933a0
141545cc00
15cb7d445
hex8ab3c60

145439840 has 144 divisors (see below), whose sum is σ = 430747632. Its totient is φ = 45997056.

The previous prime is 145439839. The next prime is 145439849. The reversal of 145439840 is 48934541.

It is a junction number, because it is equal to n+sod(n) for n = 145439794 and 145439803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145439849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 101207 + ... + 102633.

It is an arithmetic number, because the mean of its divisors is an integer number (2991303).

Almost surely, 2145439840 is an apocalyptic number.

145439840 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 145439840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215373816).

145439840 is an abundant number, since it is smaller than the sum of its proper divisors (285307792).

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

145439840 is a wasteful number, since it uses less digits than its factorization.

145439840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1454 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 145439840 is about 12059.8441117620. The cubic root of 145439840 is about 525.8894551966.

The spelling of 145439840 in words is "one hundred forty-five million, four hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 49 52 56 65 70 80 91 98 104 112 130 140 160 182 196 208 224 245 260 280 364 392 416 455 490 520 560 637 728 784 910 980 1040 1120 1274 1427 1456 1568 1820 1960 2080 2548 2854 2912 3185 3640 3920 5096 5708 6370 7135 7280 7840 9989 10192 11416 12740 14270 14560 18551 19978 20384 22832 25480 28540 37102 39956 45664 49945 50960 57080 69923 74204 79912 92755 99890 101920 114160 129857 139846 148408 159824 185510 199780 228320 259714 279692 296816 319648 349615 371020 399560 519428 559384 593632 649285 699230 742040 799120 908999 1038856 1118768 1298570 1398460 1484080 1598240 1817998 2077712 2237536 2597140 2796920 2968160 3635996 4155424 4544995 5194280 5593840 7271992 9089990 10388560 11187680 14543984 18179980 20777120 29087968 36359960 72719920 145439840