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145676960 = 25511136367
BaseRepresentation
bin10001010111011…
…01101010100000
3101011010011012222
420223231222200
5244243130320
622242210212
73416143112
oct1053555240
9334104188
10145676960
117525a290
1240953968
13242472b0
14154c13b2
15cbc8825
hex8aedaa0

145676960 has 96 divisors (see below), whose sum is σ = 404393472. Its totient is φ = 48890880.

The previous prime is 145676957. The next prime is 145676981. The reversal of 145676960 is 69676541.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 19697 + ... + 26063.

It is an arithmetic number, because the mean of its divisors is an integer number (4212432).

Almost surely, 2145676960 is an apocalyptic number.

145676960 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 145676960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202196736).

145676960 is an abundant number, since it is smaller than the sum of its proper divisors (258716512).

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

145676960 is a wasteful number, since it uses less digits than its factorization.

145676960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6406 (or 6398 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The square root of 145676960 is about 12069.6710808539. The cubic root of 145676960 is about 526.1750972433.

The spelling of 145676960 in words is "one hundred forty-five million, six hundred seventy-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1430 1760 2080 2288 2860 4576 5720 6367 11440 12734 22880 25468 31835 50936 63670 70037 82771 101872 127340 140074 165542 203744 254680 280148 331084 350185 413855 509360 560296 662168 700370 827710 910481 1018720 1120592 1324336 1400740 1655420 1820962 2241184 2648672 2801480 3310840 3641924 4552405 5602960 6621680 7283848 9104810 11205920 13243360 14567696 18209620 29135392 36419240 72838480 145676960