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145176840 = 23335229587
BaseRepresentation
bin10001010011100…
…11100100001000
3101010011202012000
420221303210020
5244131124330
622223351000
73411661044
oct1051634410
9333152160
10145176840
1174a48566
1240752460
1324100773
14153d1024
15cb2a560
hex8a73908

145176840 has 128 divisors (see below), whose sum is σ = 486864000. Its totient is φ = 38479104.

The previous prime is 145176839. The next prime is 145176841. The reversal of 145176840 is 48671541.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (145176839) and next prime (145176841).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 145176795 and 145176804.

It is not an unprimeable number, because it can be changed into a prime (145176841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 247027 + ... + 247613.

It is an arithmetic number, because the mean of its divisors is an integer number (3803625).

Almost surely, 2145176840 is an apocalyptic number.

145176840 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 145176840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243432000).

145176840 is an abundant number, since it is smaller than the sum of its proper divisors (341687160).

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

145176840 is a wasteful number, since it uses less digits than its factorization.

145176840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 836 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 145176840 is about 12048.9352226659. The cubic root of 145176840 is about 525.5722739279.

The spelling of 145176840 in words is "one hundred forty-five million, one hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 229 270 360 458 540 587 687 916 1080 1145 1174 1374 1761 1832 2061 2290 2348 2748 2935 3435 3522 4122 4580 4696 5283 5496 5870 6183 6870 7044 8244 8805 9160 10305 10566 11740 12366 13740 14088 15849 16488 17610 20610 21132 23480 24732 26415 27480 30915 31698 35220 41220 42264 49464 52830 61830 63396 70440 79245 82440 105660 123660 126792 134423 158490 211320 247320 268846 316980 403269 537692 633960 672115 806538 1075384 1209807 1344230 1613076 2016345 2419614 2688460 3226152 3629421 4032690 4839228 5376920 6049035 7258842 8065380 9678456 12098070 14517684 16130760 18147105 24196140 29035368 36294210 48392280 72588420 145176840